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ALTAF A. BHAT,M. YOUNUS BHAT,H. MAQBOOL,D.K. JAIN The Korean Society for Computational and Applied M 2023 Journal of applied mathematics & informatics Vol.41 No.2
In this paper we have obtained various forms of (p, q)-analogue of Aleph-Function satisfying Truesdell's ascending and descending F<sub>p,q</sub>-equation. These structures have been employed to arrive at certain generating functions for (p, q)-analogue of Aleph-Function. Some specific instances of these outcomes as far as (p, q)-analogue of I-function, H-function and G-functions have likewise been obtained.
(p, q)-ANALOGUE OF THE NATURAL TRANSFORM WITH APPLICATIONS
Altaf A. Bhat,Faiza A. Sulaiman,Javid A. Ganie,M. Younus Bhat,D.K. Jain 경남대학교 기초과학연구소 2023 Nonlinear Functional Analysis and Applications Vol.28 No.4
The natural transform is represented by two $(p,q)$-analogues,and their comparative characteristics are established. To resolve some $(p,q)$-difference and functional equations, applications are carried out.
Generating Operators of I-transform of the Mellin Convolution Type
Altaf A. Bhat,Javid A. Ganie,M. Younus Bhat,Faiza B. Suleiman 한국전산응용수학회 2024 Journal of applied mathematics & informatics Vol.42 No.1
In this paper, the I-transform of the Mellin convolution type is presented. Based on the Mellin transform theory, a general integral transform of the Mellin convolution type is introduced. The generating operators for I-transform together with the corresponding operational relations are also presented.