Results 21 to 30 of about 2,863,909 (272)
HYPERGEOMETRIC ZETA FUNCTIONS [PDF]
International Journal of Number Theory, 2010 This paper investigates a new family of special functions referred to as hypergeometric zeta functions. Derived from the integral representation of the classical Riemann zeta function, hypergeometric zeta functions exhibit many properties analogous to their classical counterpart, including the intimate connection to Bernoulli numbers.
Hassen, Abdul, Nguyen, Hieu D.
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Hypergeometric functions in arithmetic geometry [PDF]
, 2009 textHypergeometric functions seem to be ubiquitous in mathematics. In this document, we present a couple of ways in which hypergeometric functions appear in arithmetic geometry.
Salerno, Adriana Julia, 1979-
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Fractional Hypergeometric Functions
Symmetry, 2022 The fractional calculus of special functions has significant importance and applications in various fields of science and engineering. Here, we aim to find the fractional integral and differential formulas of the extended hypergeometric-type functions by using the Marichev–Saigo–Maeda operators.
Shilpi Jain +2 more
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Rational Hypergeometric Functions [PDF]
Compositio Mathematica, 2001 Multivariate hypergeometric functions associated with toric varieties were introduced by Gel'fand, Kapranov and Zelevinsky. Singularities of such functions are discriminants, that is, divisors projectively dual to torus orbit closures. We show that most of these potential denominators never appear in rational hypergeometric functions.
Cattani, E, Dickenstein, A, Sturmfels, B
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A New Class of Extended Hypergeometric Functions Related to Fractional Integration and Transforms
Journal of Mathematics, 2022 The focus of this research is to use a new extended beta function and develop the extensions of Gauss hypergeometric functions and confluent hypergeometric function formulas that are presumed to be new.
Vandana Palsaniya +3 more
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Certain subclasses of analytic functions defined by a new general linear operator
Известия Иркутского государственного университета: Серия "Математика", 2018 Hypergeometric functions are of special interests among the complex analysts especially in looking at the properties and criteria of univalent. Hypergeometric functions have been around since 1900’s and have special applications according to their own ...
A.R.S. Juma, M. Darus
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Elliptic hypergeometric functions
, 2020 Lecture notes for a course given at the summer school OPSF-S6, College Park, Maryland, 11-15 July 2016.In these lecture notes I give an elementary introduction to elliptic hypergeometric functions.
Hjalmar Rosengren +2 more
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Powers of a hypergeometric function [PDF]
Integral Transforms and Special Functions, 2006 A new expansion for integral powers of the hypergeometric function corresponding to a special case of the incomplete beta function is summarized, and consequences, including two new sums involving digamma (psi) functions are presented.
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Elliptic hypergeometric functions associated with root systems
, 2020 We give a survey of elliptic hypergeometric functions associated with root systems, comprised of three main parts. The first two in essence form an annotated table of the main evaluation and transformation formulas for elliptic hypergeometric integrals ...
Warnaar, Ole, +3 more
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Contractions of 2D 2nd Order Quantum Superintegrable Systems and the Askey Scheme for Hypergeometric Orthogonal Polynomials [PDF]
, 2013 We show explicitly that all 2nd order superintegrable systems in 2 dimensions are limiting cases of a single system: the generic 3-parameter potential on the 2-sphere, S9 in our listing.
Willard Miller Jr. +8 more
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