Results 31 to 40 of about 12,030,394 (333)
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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Sharp Landen transformation inequalities for hypergeometric functions, with applications
Journal of Mathematical Analysis and Applications, 2019 The authors present sharp Landen transformation inequalities for the hypergeometric functions F 1 2 ( a , b ; a + b ; x ) and F 1 2 ( a , b ; ( a + b + 1 ) / 2 ; x ) , by showing the monotonicity properties of certain combinations defined in terms of one
S. Qiu, Xiao-Yan Ma, Y. Chu
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On the interplay among hypergeometric functions, complete elliptic integrals, and Fourier–Legendre expansions [PDF]
Journal of Mathematical Analysis and Applications, 2017 Motivated by our previous work on hypergeometric functions and the parbelos constant, we perform a deeper investigation on the interplay among generalized complete elliptic integrals, Fourier-Legendre (FL) series expansions, and ${}_p F_q$ series.
J. Campbell +2 more
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Hypergeometric functions of type $BC$ and standard multiplicities
, 2021 We study the Heckman-Opdam hypergeometric functions associated to a root system of type $BC$ and a multiplicity function which is allowed to assume some non-positive values (a standard multiplicity function).
Pasquale, Angela +4 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.
openaire +2 more sources
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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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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Recurrent identities for two special functions of hypergeometric type
Вестник Самарского университета: Естественнонаучная серия, 2023 The article presents conclusions and proofs of Gauss-type identities for two known hypergeometric type functions. For the derivation and justification of formulas, the representation of functions in the form of a series is used, as well as an integral ...
Svetlana V. Podkletnova
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Mathematics, 2019 Very recently, the incomplete Pochhammer ratios were defined in terms of the incomplete beta function B y ( x , z ) . With the help of these incomplete Pochhammer ratios, we introduce new incomplete Gauss, confluent hypergeometric, and Appell’s functions
M. A. Özarslan, Ceren Ustaoğlu
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Newton diagram of positivity for 1F2 generalized hypergeometric functions [PDF]
, 2018 As for the positivity of generalized hypergeometric functions, we present a list of necessary and sufficient conditions in terms of parameters and determine the region of positivity by certain Newton diagram.
Yong-Kum Cho, Hera Yun
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