Authors
Kottakkaran Sooppy Nisar, Saiful Rahman Mondal, Guotao Wang
Publication date
2019/11
Journal
Afrika Matematika
Volume
30
Pages
1267-1274
Publisher
Springer Berlin Heidelberg
Description
Fractional calculus has gained more attention during the last decade due to their effectiveness and potential applicability in various problems of mathematics and statistics. Several authors have studied the pathway fractional operator representations of various special functions such as Bessel function, generalized Bessel functions, Struve function and generalized Struve function. Many researchers have established the significance and great consideration of Struve function in the theory of special functions for exploring the generalization and some applications. A new generalization called k k-Struve function S _ ν, c^ k\left (x\right) S ν, ckx defined by S _ ν, c^ k (x):= ∑ _ r= 0^ ∞ (-c)^ r\varGamma _ k\left (r k+ ν+ 3 k 2\right)\varGamma\left (r+ 3 2\right)\left (x 2\right)^ 2r+ ν k+ 1. S ν, ck (x):=∑ r= 0∞(-c) r Γ krk+ ν+ 3 k 2 Γ r+ 3 2 x 2 2 r+ ν k+ 1. where c, ν ∈ C, ν> 3 2 k c, ν∈ C, ν> 3 2 k is given by Nisar and Saiful very …
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