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Sharp inequalities for factorial n. Springer Verlag, 4th edition, A bivariate extension of the Gamma distribution. Exact covering systems and the Gauss-Legendre multiplication formula for the Gamma function. Inequalities for absolute moments of a distribution: From Laplace to von Mises. On estimation of scale parameter in Gamma distribution.

Generalized Gamma parameter estimation and moment evaluation. Theory and Methods] 17 2: New generalization of the convexity concavity. Special inequalities for increasing and convex functions. An inequality for convex functions. Inequalities for Gamma function. Integral representation of some functions related to the Gamma function. On a generalized Gamma convolution related to the q-calculus.

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A volume dedicated to Mizan Rahman. Potential theory on locally compact Abelian groups. A Pick function related to the sequence of volumes of the unit ball in n-space. MayArXiv A completely monotone function related to the Gamma function.

Pick functions related to the Gamma function. Rocky Mountain Journal of Mathematics 32 2: The Chen-Rubin conjecture in a continuous setting.

Methods and Applications of Analysis 13 1: Convexity of the median in the Gamma distribution. The maximum likelihood estimators of the parameters of the Gamma distribution are always positively biased.

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Theory and Methods] 10 7: The Gamma function and the Hurwitz Zeta function. The Gamma function and the Hurwitz Zeta-function. Monthly [The American Mathematical Monthly] 92 2: With a foreword by S.

Number theory Winnipeg, Man, Infinitely many Stokes smoothings in the Gamma function. A [Proceedings of the Royal Society. Mathematical and Physical Sciences] The factorial function and generalizations. DFR and other heavy tail properties in modelling the distribution of land and some alternative measures of inequality. Applications and new directions Calcutta,—, Calcutta, Near-constancy phenomena in branching processes. Power series expansions and real imaginary zero lines.

Some families of distributions on finite intervals. Statistica Bologna 43 2: Stieltjes continued fractions for Polygamma functions, speed of convergence. On infinite divisibility of powers of a Gamma variable. Generalized Gamma convolutions and related classes of distributions and densities, volume 76 of Lecture Notes in Statistics.

Springer Verlag, New York, Correction and addendum to: Gebiete [Zeitschrift fur Wahrscheinlichkeitstheorie und Verwandte Gebiete] 59 2: On a generalization of Gamma functional equation. Mathematical Reports ], On the complexity of familiar functions and numbers. Fast evaluation of the Gamma function for small rational fractions using complete elliptic integrals of the first kind.

Reduced complexity evaluation of hypergeometric functions.

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Theory [Journal of Approximation Theory] 50 3: Varietes de Shimura et fonctions L. Sums of powers of binomial coefficients. Simulation and Computation] 16 4: Properties of estimators for the Gamma distribution. With a contribution by Y. A p-adic study of the partial sums of the harmonic series. Jacobi-Sum Hecke characters of imaginary quadratic fields. Freund, Ezer Melzer, Mark Olson. Adelic string n-point amplitudes. Vancouver, BC,— Monographie de la fonction Gamma.

On Gamma function inequalities. On Stirling functions of the second kind. Analytic Kernels for integral representations of solutions of a functional equation. Serie VII] 8 4: Special functions of applied mathematics. Calculating to high precision the EulerMascheroni constant and generalized harmonic series. First applications to the calculation of.

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Arti Palermo Parte I 4, — The derivative of the Gamma function for positive integers as values of the variables. On certain inequalities connected with the Gamma function. A note on incomplete Beta function. Nanta Mathematica] 12 1: A note on a characterization of Gamma distributions. Asymptotic formulae derived from the central limit theorem. Extended hypergeometric and confluent hypergeometric functions.

Some properties of functions related to the Gamma and Psi functions. A class of two-sided inequalities involving the Psi and Polygamma functions.

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Some inequalities and monotonicity properties associated with the Gamma and Psi functions and the Barnes G-function. Mayto appear. Monotonicity and convexity for the Gamma function. The best lower and upper bounds of harmonic sequence. Bounds for the difference between median and mean of Gamma and Poisson distributions.

A generalization of two q-identities of Andrews. Some infinite series and functional relations that arose in the context of fractional calculus. A note on a Tricomi expansion for the generalized exponential integral and related functions. Serie 11] 5: Some q-extensions of the Apostol-Bernoulli and the Apostol-Euler polynomials of order n, and the multiple Hurwitz Zeta function.

Log-sine integrals involving series associated with the Zeta function and Polylogarithms. The double Gamma function. An application of the theory of the double Gamma function. Certain classes of series associated with the Zeta function and multiple Gamma functions. Evaluation of higher-order derivatives of the Gamma function. A certain family of series associated with the Zeta and related functions.

Explicit evaluation of Euler and related sums. A family of log-Gamma integrals and associated results. A note on a multiplication formula for the multiple Gamma function Gamman. A note on a multiplication formula for the multiple Gamma function gn. Integral representations for the Gamma function, the Beta function, and the double Gamma function.

Some applications of the Gamma and Polygamma functions involving convolutions of the Rayleigh functions, multiple Euler sums and log-sine integrals. Mathieu series and associated sums involving the Zeta function. Multiple Gamma and related functions. Applications of a certain family of hypergeometric summation formulas associated with the Psi and Zeta functions.

Some families of infinite series. Integrals involving a function associated with the Euler-Maclaurin summation formula. On the medians of Gamma distributions and an equation of Ramanujan. Series involving the Zeta function and multiple Gamma functions. P -adic numbers and ultrametricity. From number theory to physics Les Houches,— A modified Wallis product and some applications. On mixing generalized Poisson with generalized Gamma distribution.

Asymptotic estimation of the coefficients of the continued fraction representing the Binet function. Performance evaluation of programs related to the real Gamma function. Software [Association for Computing Machinery. Transactions on Mathematical Software] 17 1: Clifford Cohen, Betty Jones Whitten. Modified moment and maximum likelihood estimators for parameters of the three-parameter Gamma distribution.

Simulation and Computation] 11 2: Gauss sums and circular units. Algebraic number theory, volume 17 of Adv. Academic Press, Boston, MA, Pure Math, 21—52, Amsterdam-New York, Periodes des varietes Abeliennes a multiplication complexe. Second Series] 3: Generalisation of a congruence of Gauss. Number Theory [Journal of Number Theory] 29 3: Confidence interval procedures for the Weibull process with applications to reliability growth. Some properties of q-biorthogonal polynomials. An inequality involving the incomplete Gamma function.

Estimating the parameters of a Gamma distribution. When should one stop testing software? Simultaneous estimation in the multiparameter Gamma distribution under weighted quadratic losses.

Essays on mathematics and its historical development; Papers in honor of Kurt-Reinhard Biermann on the occasion of his 60th birthday. An extension to Polygamma functions of a theorem of gauss. A historical profile of the Gamma function. Approximating Szasz and Gamma operators by Baskakov operators. Salinas de Romero, H.

Some families of infinite sums derived by means of fractional calculus.

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The Gamma distribution and weighted multimodal Gamma distributions as models of population abundance. An International Journal] 68 2: A Morgenstern-type bivariate Gamma distribution. The p-adic log Gamma function and p-adic Euler constants. On the values of p-adic l-functions at positive integers.

Acta Arithmetica] 35 3: The p-adic Gamma measures. Hypergeometric series with a p-adic variable. Approximate inference for the generalized Gamma distribution. Computation of the incomplete Gamma functions. Operator-valued Bessel functions on Jordan algebras. Zur Theorie der Gammafunktion. Zur Definition der Gammafunktion durch die Eulersche Funktionalgleichung. Paris 8— Estimation of parameters of the Gamma distribution in the presence of outliers. Theory and Methods] 18 8: On the estimation of the power of the scale parameter of the Gamma distribution in the presence of outliers.

Theory and Methods] 20 4: Classical potential theory and its probabilistic counterpart. Springer—Verlag, New York, Matematicheskaya Fizika i Nelineinaya Mekhanika] 18 Inequalities for Beta and Gamma functions via some classical and new inequalities.

A note on the Jensen-Hadamard inequality. Statistical determination of certain mathematical constants and functions using computers. An approximation of the Gamma function. Parameter estimation algorithms for the Hyper-Gamma distribution class. Simulation and Computation] 18 3: A probability distribution associated with the Hurwitz Zeta function. On some Gamma function inequalities. Springer, Berlin-New York, Tables of integrals and other mathematical data.

A note on the p-adic Gamma function. Study group on ultrametric analysis, 9th year: The probability distributions of the Kolmogorov and Omega-squared statistics for continuous distributions with shift and location parameters. Investigations in the theory of probability distributions, IV.

A simple theory of the Gamma function. A characterization of the Gamma distribution by optimal estimates. Teoriya Veroyatnostei i ee Primeneniya] 30 4: Invariant sufficiency, equivariance and characterizations of the Gamma distribution. Contributions to stochastics, — MVU estimation in a shifted Gamma distribution with shape parameter a known integer.

Simulation and Computation] 22 3: Convexity and q-Gamma function. P -adic multiple Gamma functions. A characterization of the Gamma distribution by the negative binomial distribution.

Zur Theorie Komplexer Funktionen. Multidimensional Beta and Gamma integrals. In The Rademacher legacy to mathematics Univ.

Park, PA,— Inequalities for the Wallis Product. Series and integral representations. Current problems of mathematics. Fundamental directions, volume 13 of Itogi Nauki i Tekhniki, 5— Asymptotic estimates and entire functions. Gordon and Breach, New York, Formule du binome generalisee.

An introduction to Probability theory and its Applications, volume 2. On the work of Leonhard Euler Berlin,39— Birkhauser, Basel-Boston, Mass, The solution of a functional equation by Laplace transformation. Generalized functions and operational calculus Proc. Conf, Varna,97—, Sofia, On the hypergeometric birth process and some implications about the Gamma distribution representation. B [Journal of the Royal Statistical Society. The Gamma function with varying difference interval.

Addendum and corrigendum to: High-precision values of the Gamma function and of some related coefficients. Calculation of the moments and the moment generating function for the reciprocal Gamma distribution. Dekker, New York, Error bounds for asymptotic expansions of the ratio of two Gamma functions. A hierarchic array of integrable models.

Application to the Weierstrass formula on the Gamma function]. Functional equations and their applications. Proceedings of a symposium held at the Research Institute for Mathematical Sciences. A nonlinear diffusion with Hyper-Gamma distribution.

A characterization and some properties of generalized Gamma distribution. Some monotonicity properties of the q-Gamma function.

A subadditive property of the Digamma function. The generating hypothesis for the stable module category of a p-group. Detecting pro-p groups that are not absolute Galois groups.

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Ghosts in modular representation theory. Groups which do not admit ghosts. Galois module structure of Milnor K-theory in characteristic p. Galois module structure of Milnor K-theory mod p s in characteristic p. Automatic realizations of Galois groups with cyclic quotient of order p n. Nombres Bordeaux 20no. Auslander-Reiten sequences as appetizers for homotopists and arithmeticians. Freyd s generating hypothesis with almost split sequences.

Hilbert 90 for Galois cohomology. Algebra 38no. Galois module structure of Galois cohomology for embeddable cyclic extensions of degree p n. Reciprocity laws for representations of finite groups. The Bloch-Kato conjecture and Galois theory. Cyclic algebras, Schur indices, norms, and Galois modules. Finite generation of Tate cohomology. Representation Theory 15J. Mild pro-2 groups and 2-extensions of Q with restricted ramification. AlgebraI. On the descending central sequence of absolute Galois groups.

Counting irreducible polynomials over finite fields using the inclusion-exclusion principle. Quotients of absolute Galois groups which determine the entire Galois cohomology. Freyd s generating hypothesis for groups with periodic cohomology. Small Galois groups that encode valuations. Representations of the miraculous Klein group. Newsletter 22no. From spline approximation to Roth s equation and Schur functors. Milnor K-theory and the graded representation ring. Journal of K-theory 13J.

Galois module structure of l n th classes of fields. The u invariant of algebraic extensions, K-Theory and Algebraic Geometry: Connections with Quadratic Forms and Division Algebras.

Milnor's conjecture and Galois theory I. Great Lakes Proceedings, editor: Galois groups over nonrigid fields. Absolute Galois groups viewed from small quotients and the Bloch-Kato conjecture.

Detecting fast solvability of equations via small powerful Galois groups. Transactions of the AMS, to appear. Triple Massey products and Galois theory. Journal of the European Mathematical Society, to appear.

Galois groups and cohomological functors. The kernel unipotent conjecture and Massey products on an odd rigid field. Triple Massey products over global fields. How fast do Zassenhaus filtrations of pro-p-groups descend? Galois p-groups and Galois modules. Counting Galois U 4 F p -extensions using Massey products. Galois Modules in Action.

Springer, the American Mathematical Society and Cambridge University Press expressed interest in the publication of this book. Composition of Quadratic Forms. De Gruyter Expositions in Mathematics 33 Brauer Type Embedding Problems.

Hipoteza Riemanna, Czesc I. Hipoteza Riemanna, Czesc II. Values of the Riemann zeta function at integers.

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On a small quotient of the big absolute Galois group. Report on Research in Teams event: During this time I have also received various other grants from Western University and from the University of British Columbia. D Classification of W-groups of Pythagorean formally real fields P. D Arrangements of submanifolds and the tangent bundle complement C. Sc The maximal pro-p-quotient of an absolute Galois group G.

D Descending central series of free pro-pgroups V. D On certain Galois embedding problems over p-adic fields G. D Milnor K-theory as Galois modules in characteristic p D. D Quadratic forms and Galois theory J.

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D Galois groups of a maximal 2-extension of a field J. Shirbisheh was supervised by M. Ataei Jaliseh present J.