Finite Mellin transform for (p, q) and symmetric calculus

被引：0

作者：

Jain, Pankaj ^{[1
]}

Basu, Chandrani ^{[1
]}

Panwar, Vivek ^{[1
]}

机构：

[1] South Asian Univ, Dept Math, New Delhi 110021, India

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2020年 / 11卷 / 04期

关键词：

Mellin transform; Finite; (p; q)-Mellin transform; Symmetric calculus; Inversion formula; Convolution; Fubini's theorem;

D O I：

10.1007/s11868-020-00360-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we have introduced and studied finite (p, q)-Mellin transform which extends the known theory of finite q-Mellin transform. Also, in this paper, we study finite (p, q)-Mellin transform in the framework of symmetric calculus. This study is new even for the special case p = q. In both the cases, we provide several basic properties, inversion formulas, the appropriate convolution product and the Parseval type relations.

引用

页码：1595 / 1620

页数：26

共 21 条

[1]

Araci S, 2016, J INEQUAL APPL, DOI 10.1186/s13660-016-1240-8

[2] TWO DIMENSIONAL MELLIN TRANSFORM IN QUANTUM CALCULUS [J].

Brahim, Kamel ;

Riahi, Latifa .

ACTA MATHEMATICA SCIENTIA, 2018, 38 (02) :546-560

[3] THE SYMMETRIC MELLIN TRANSFORM IN QUANTUM CALCULUS [J].

Brahim, Kamel ;

Nefzi, Bochra ;

Bsaissa, Anis .

MATEMATICHE, 2015, 70 (02) :255-270

[4]

Brahimm K., 2010, TAMSUI OXF J MATH SC, V26, P335

[5]

Burban I.M., 1994, Integral Transform. Spec. Funct, V2, P15, DOI DOI 10.1080/10652469408819035

[6]

Davies B., 1984, INTEGRAL TRANSFORM T, V2nd

[7]

Debnath L., 2015, INTEGRAL TRANSFORM T

[8]

Ernst T., 2012, A Comprehensive treatment of -calculus

[9] The Mellin transform in quantum calculus [J].

Fitouhi, A ;

Bettaibi, N ;

Brahim, K .

CONSTRUCTIVE APPROXIMATION, 2006, 23 (03) :305-323

[10] QUANTUM ALGEBRAS AND Q-SPECIAL FUNCTIONS [J].

FLOREANINI, R ;

VINET, L .

ANNALS OF PHYSICS, 1993, 221 (01) :53-70

← 1 2 3 →