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Toplam kayıt 8, listelenen: 1-8
An integral equation involving Saigo-Maeda operator
(Işık University Press, 2020)
The aim of this paper is to obtain a solution of integral equation of the Saigo- Maeda operator which contain Appell-hypergeometric function as a kernel. The integral equation and its solution gives new form of generalised ...
On two identities for I-function
(Işık University Press, 2020)
In this research note, two interesting identities involving I-function of one variable introduced by Rathie have been derived. These results enable us to split a particular I-function into the sum of four I-functions. A ...
Evaluation of some explicit summation formulae for truncated Gauss function and applications
(Işık University Press, 2022)
In this paper, some explicit expressions for truncated Gauss’ hypergeometric series ₂F₁ with argument 2, when one numerator and one denominator parameters are negative integers such as ₂F₁ [−m, a; −2m + j; 2]m ; m > j and ...
Some quadratic transformations motivated by the work of kummer and their generalizations
(Işık University Press, 2020)
In this paper, we construct two quadratic transformations influenced by the work of Kummer and application of hypergeometric summation theorems of argument “two”. Further, we establish some generalizations of these quadratic ...
On a new class of integrals involving generalized hypergeometric function ₄F₃
(Işık University Press, 2020)
The main aim of this research paper is to evaluate a general integral of the form Z 1 0 x d−1 (1 − x) d+` [1 + αx + β(1 − x)]−2d−`−1 × 4F3 a, b, 2d + ` + 1, c 1 2 (a + b + i + 1), d, 2c + j ; (1 + α)x 1 + αx + β(1 − x) ...
Integral involving aleph-function and the generalized incomplete hypergeometric function
(Işık University Press, 2020)
The aim of this paper is to establish a general definite integrals involving product of the Aleph function and generalized incomplete hypergeometric function with general arguments. Being unified and general in nature, ...
A note on some new Pδ-transforms of ₂F₂ generalized hypergeometric functions
(Işık University Press, 2020-04-24)
In this note, we aim to establish Pδ-transforms of ₂F₂ generalized hypergeometric functions in terms of gamma functions. The results are established from the generalized classical summation theorems due to Gauss’s second, ...
Some summation theorems for appell function of first kind having arguments ± 1
(Işık University Press, 2022)
The motive of this paper is to find the closed forms of the summation theorems for Appell’s double hypergeometric function of first kind with suitable convergence conditions, having the arguments ±1.