Yazar "Purohit, Sunil Dutt" için listeleme
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Addition theorem and certain properties of k-bessel function
Gehlot, Kuldeep; Purohit, Sunil Dutt; Sharma, Jankiballabh (Işık University Press, 2020)Our purpose in this paper is to study certain basic properties of k-Bessel function, introduced by Gehlot [Nonl. Anal. Diff. Eq., 2(2)(2014), 61-67]. In this regard, we obtain addition theorem, expansions formula, integral ... -
Certain expansion formulae involving incomplete I-functions
Purohit, Sunil Dutt; Suthar, Daya Lal; Al-Jarrah, Ali; Vyas, Vijay Kumar; Nisar, Kottakkaran Sooppy (Işık University Press, 2024-01)The aim of this paper is to derive the expansion formulae for the incomplete I-function. Furthermore, their special cases are illustrated in terms of various types of special functions (incomplete I-function, incomplete ... -
Certain expansion formulae of incomplete H-functions associated with Leibniz rule
Meena, Sapna; Bhatter, Sanjay; Jangid, Kamlesh; Purohit, Sunil Dutt (Işık University Press, 2022)In this article, we have derived some expansion formulae of the incomplete H-functions by the use of the Leibniz rule for the Riemann-Liouville type derivatives. Further, expansion formulae of the incomplete Meijer’s ... -
Certain generating functions involving the incomplete I-functions
Meena, Sapna; Bhatter, Sanjay; Jangid, Kamlesh; Purohit, Sunil Dutt; Nisar, Kottakkaran Sooppy (Işık University Press, 2022)In this paper, we have derived a set of generating functions for incomplete I-functions. Bilateral along with linear generating relations are derived for incomplete I-functions. The results obtained are of a general nature, ... -
Certain integral transforms and fractional integral formulas for the extended hypergeometric functions
Parmar, Rakesh Kumar; Purohit, Sunil Dutt (Işık University Press, 2017)In this present paper, we derive various integral transforms, including Euler, Varma, Laplace, and Whittaker integral transforms for the extended hypergeometric functions which has recently been introduced by Choi et al.[3]. ... -
Integral transforms of the galue type struve function
Suthar, Daya Lal; Purohit, Sunil Dutt; Nisar, Kottakkaran Sooppy (Işık University Press, 2018)This paper refers to the study of generalized Struve type function. Using generalized Galu´e type Struve function (GTSF), we derive various integral transforms, including Euler transform, Laplace transform, Whittakar ... -
A note on some new Pδ-transforms of ₂F₂ generalized hypergeometric functions
Purohit, Sunil Dutt; Harsh, Vardhan Harsh; Rathie, Arjun Kumar (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, ...
