The application of the residue theorem to bilateral hypergeometric series identities is systematically reviewed by exemplifying three classes of summation theorems due to Dougall (1907), Jackson (1949, 1952) and Slater-Lakin (1953).The application of the residue theorem to bilateral hypergeometric series identities is systematically reviewed by exemplifying three classes of summation theorems due to Dougall (1907), Jackson (1949, 1952) and Slater-Lakin (1953)
We introduce an $\ell$-adic analogue of Gauss's hypergeometric function arising from the Galois acti...
Our purpose in this paper is to define a linear operator F_{p,q,s}[\alpha_{1},m], then applying it ...
In this paper, we provide the exact expressions (not found in the liter- ature) for the curved surfa...
The application of the residue theorem to bilateral hypergeometric series identities is systematical...
AbstractBy means of the modified Abel lemma on summation by parts, a recurrence relation for Dougall...
The main objective of the present article is to make interconnection between the Generalized Hyergeo...
We show the residue formula of the Frobenius intertwiners on hypergeometric differential equations, ...
AbstractThe authors present a systematic investigation of the following log-gamma integral: ∫0zlogΓ(...
Mathematics Subject Classification: 33C60, 33C20, 44A15This paper is devoted to an important case of...
AbstractIn this paper, we prove some generalisations of several theorems given in [K.A. Driver, S.J....
The aim of this paper is to investigate coefficient estimates, Fekete-Szeg˝o inequality, and upper ...
For Γ a cocompact or cofinite Fuchsian group, we study the hyperbolic lattice point problem in conju...
2010 Mathematics Subject Classification: 33C45, 40G05.In this paper we give some results concerning ...
AbstractWe consider the asymptotic behavior of the Gauss hypergeometric function when several of the...
In this paper, authors will present a new theorem and corollary on multi- dimensional Laplace trans...
We introduce an $\ell$-adic analogue of Gauss's hypergeometric function arising from the Galois acti...
Our purpose in this paper is to define a linear operator F_{p,q,s}[\alpha_{1},m], then applying it ...
In this paper, we provide the exact expressions (not found in the liter- ature) for the curved surfa...
The application of the residue theorem to bilateral hypergeometric series identities is systematical...
AbstractBy means of the modified Abel lemma on summation by parts, a recurrence relation for Dougall...
The main objective of the present article is to make interconnection between the Generalized Hyergeo...
We show the residue formula of the Frobenius intertwiners on hypergeometric differential equations, ...
AbstractThe authors present a systematic investigation of the following log-gamma integral: ∫0zlogΓ(...
Mathematics Subject Classification: 33C60, 33C20, 44A15This paper is devoted to an important case of...
AbstractIn this paper, we prove some generalisations of several theorems given in [K.A. Driver, S.J....
The aim of this paper is to investigate coefficient estimates, Fekete-Szeg˝o inequality, and upper ...
For Γ a cocompact or cofinite Fuchsian group, we study the hyperbolic lattice point problem in conju...
2010 Mathematics Subject Classification: 33C45, 40G05.In this paper we give some results concerning ...
AbstractWe consider the asymptotic behavior of the Gauss hypergeometric function when several of the...
In this paper, authors will present a new theorem and corollary on multi- dimensional Laplace trans...
We introduce an $\ell$-adic analogue of Gauss's hypergeometric function arising from the Galois acti...
Our purpose in this paper is to define a linear operator F_{p,q,s}[\alpha_{1},m], then applying it ...
In this paper, we provide the exact expressions (not found in the liter- ature) for the curved surfa...