Certain characteristics of 2-variable q-truncated Tricomi functions

M. Fadel; N. Raza; C. Cesarano; P. Agarwal

doi:10.15330/cmp.18.1.36-48

Certain characteristics of 2-variable q-truncated Tricomi functions

M. Fadel
, N. Raza
, C. Cesarano
, P. Agarwal

Nonlinear Dynamic Research Centre (NDRC)

University of Lahej
Aligarh Muslim University
International Telematic University Uninettuno
International College of Engineering

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	36-48
Number of pages	13
Journal	Carpathian Mathematical Publications
Volume	18
Issue number	1
DOIs	https://doi.org/10.15330/cmp.18.1.36-48
State	Published - 2026

Keywords

q-Laguerre polynomial
q-truncated exponential polynomial
quantum calculus

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10.15330/cmp.18.1.36-48

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title = "Certain characteristics of 2-variable q-truncated Tricomi functions",

abstract = "This study defines certain properties of 2-variable q-truncated Tricomi functions hn,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.",

keywords = "q-Laguerre polynomial, q-truncated exponential polynomial, quantum calculus",

author = "M. Fadel and N. Raza and C. Cesarano and P. Agarwal",

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AU - Raza, N.

AU - Cesarano, C.

AU - Agarwal, P.

N1 - Publisher Copyright: © Fadel M., Raza N., Cesarano C., Agarwal P., 2026.

PY - 2026

Y1 - 2026

N2 - This study defines certain properties of 2-variable q-truncated Tricomi functions hn,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.

AB - This study defines certain properties of 2-variable q-truncated Tricomi functions hn,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.

KW - q-Laguerre polynomial

KW - q-truncated exponential polynomial

KW - quantum calculus

UR - https://www.scopus.com/pages/publications/105033738717

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DO - 10.15330/cmp.18.1.36-48

M3 - Article

AN - SCOPUS:105033738717

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SP - 36

EP - 48

JO - Carpathian Mathematical Publications

JF - Carpathian Mathematical Publications

IS - 1

ER -

Certain characteristics of 2-variable q-truncated Tricomi functions

Abstract

Keywords

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