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q-index transforms generated by the q-Mellin operator.

Source :
Asian-European Journal of Mathematics; Sep2022, Vol. 15 Issue 9, p1-16, 16p
Publication Year :
2022

Abstract

Based on the q -Mellin operator properties, we verify rigorously new class of q -index transforms. Moreover, we establish a convolution operator and inversion formulas. As applications, we give new transformations with the hypergeometric functions kernel. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
17935571
Volume :
15
Issue :
9
Database :
Complementary Index
Journal :
Asian-European Journal of Mathematics
Publication Type :
Academic Journal
Accession number :
158993849
Full Text :
https://doi.org/10.1142/S1793557122501777