Results 121 to 130 of about 17,253 (231)

Uniform convergence of hypergeometric series [PDF]

The considered problem is uniform convergence of sequences of hypergeometric series. To determine uniform convergence, we use the Weierstrass M-test: uniformly dominated conver gence implies uniform convergence.
Vidunas, Raimundas
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Algebraic Structures in Modular q-hypergeometric Series [PDF]

, 2012
We will discuss several questions related to q-hypergeometric series and modular functions. Nahm's conjecture is an attempt to answer the question of when a certain q-hypergeometric series can have modularity.
Lee, Chul-hee
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Hypergeometric series and divided differences [PDF]

Divided differences and hypergeometric series are intimately related. In this work, divided differencesprovide new proofs for some well-known hypergeometric series identities in addition to the existingproofs in the literature.
Dişibüyük, Nazile Buğurcan, Zürnacı Yetiş, Fatma   +1 more
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Four Families of Summation Formulas for ₄F₃(1) with Application

Axioms
A collection of functions organized according to their indexing based on non-negative integers is grouped by the common factor of fixed integer N. This grouping results in a summation of N series, each consisting of functions partitioned according to ...
Belakavadi Radhakrishna Srivatsa Kumar, Arjun K. Rathie, Junesang Choi   +2 more
doaj   +1 more source

Application of Hypergeometric Distribution Series on Certain Subclass of Analytic Functions

International Journal of Analysis and Applications, 2016
The object of the present paper is to give some characterizations for hypergeometric distribution series to be in various subclasses of analytic functions.
Trailokya Panigrahi
doaj   +2 more sources

Double series and relations with hypergeometric functions [PDF]

, 2012
Bu tez çalışmasında çift katlı seriler incelenmiş ve bir ya da daha çok değişkenli hipergeometrik fonksiyonlarla olan ilişkilerine değinilmiştir. Ayrıca hipergeometrik polinomların belli sınıflarını içeren bazı doğurucu fonksiyon ilişkileri verilmiştir ...
Sancar, Hüseyin
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Logarithmic A-hypergeometric series II [PDF]

In this paper, following (Saito in Int J Math 31(13):2050110, 2020), we continue to develop the perturbingmethod of constructing logarithmic series solutions to a regular A-hypergeometric system.
Okuyama, Go, Saito, Mutsumi
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A New Closed-Form Formula of the Gauss Hypergeometric Function at Specific Arguments

Axioms
In this paper, the authors briefly review some closed-form formulas of the Gauss hypergeometric function at specific arguments, alternatively prove four of these formulas, newly extend a closed-form formula of the Gauss hypergeometric function at some ...
Yue-Wu Li, Feng Qi
doaj   +1 more source

Macdonald Polynomials and Multivariable Basic Hypergeometric Series

Symmetry, Integrability and Geometry: Methods and Applications, 2007
We study Macdonald polynomials from a basic hypergeometric series point of view. In particular, we show that the Pieri formula for Macdonald polynomials and its recently discovered inverse, a recursion formula for Macdonald polynomials, both represent ...
Michael J. Schlosser
doaj