Konu "Hypergeometric series" için listeleme
Toplam kayıt 4, listelenen: 1-4
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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, ... -
On a new class of integrals involving generalized hypergeometric function ?F?
(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 + ?x + ?(1 ? x)]?2d?`?1 × 4F3 a, b, 2d + ` + 1, c 1 2 (a + b + i + 1), d, 2c + j ; (1 + ?)x 1 + ?x + ?(1 ? x) ... -
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 ... -
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 ...