Certain characteristics of 2-variable $q$-truncated Tricomi functions

Authors

  • M. Fadel University of Lahej, 73560 Lahej, Yemen https://orcid.org/0000-0002-6206-9113
  • N. Raza Aligarh Muslim University, Aligarh 202002, India
  • C. Cesarano International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy
  • P. Agarwal Ajman University, P.O.Box: 18484, Sheikh Ammar Road, Al Tallah 2, Ajman, UAE; Anand International College of Engineering, Jaipur, 303012, Rajasthan, India https://orcid.org/0000-0001-7556-8942
https://doi.org/10.15330/cmp.18.1.36-48

Keywords:

quantum calculus, $q$-truncated exponential polynomial, $q$-Laguerre polynomial
Published online: 2026-03-19

Abstract

This study defines certain properties of 2-variable $q$-truncated Tricomi functions $h_{n,q}(x,y)$, such as integral forms, generating functions and series definitions. Additionally, we present the associated 2-variable $q$-Laguerre polynomials, which we utilize to obtain higher order of 2-variable $q$-truncated Tricomi functions and examine the characteristics they possess.

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How to Cite
(1)
Fadel, M.; Raza, N.; Cesarano, C.; Agarwal, P. Certain Characteristics of 2-Variable $q$-Truncated Tricomi Functions. Carpathian Math. Publ. 2026, 18, 36-48.

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