q-Laplace Type Transforms of q-Analogues of Bessel Functions

被引:4
作者
Al-Khairy, R. T. [1 ]
机构
[1] Imam Abdulrahman Bin Faisal Univ, Al Dammam, Eastern Region, Saudi Arabia
关键词
q-extensions of Bessel functions; q-Laplace Type Transforms; q-shift factorials;
D O I
10.1016/j.jksus.2018.08.012
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this work, q-Laplace type integral transforms which are called qL(2)-transform and qL(2)-transform are applied on three families of q(2)-Bessel Functions. Moreover, we give some examples to show effectiveness of the proposed results. (C) 2018 Production and hosting by Elsevier B.V. on behalf of King Saud University.
引用
收藏
页码:563 / 566
页数:4
相关论文
共 13 条
[1]   On q-Analogues of the Natural Transform of Certain q-Bessel Functions and Some Application [J].
Al-Omari, Shrideh K. Q. .
FILOMAT, 2017, 31 (09) :2587-2598
[2]  
[Anonymous], 1949, Math. Nachr., DOI DOI 10.1002/MANA.19490020604
[3]  
[Anonymous], 2014, SCI WORLD J
[4]  
De Sole A., 2005, ATTI ACCAD NAZ SFMN, V16, P11
[5]   A CERTAIN CLASS OF Q-BESSEL POLYNOMIALS [J].
EXTON, H ;
SRIVASTAVA, HM .
MATHEMATICAL AND COMPUTER MODELLING, 1994, 19 (02) :55-60
[7]   THE BASIC BESSEL-FUNCTIONS AND POLYNOMIALS [J].
ISMAIL, MEH .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1981, 12 (03) :454-468
[9]  
Purohit SD., 2007, FRACT CALC APPL ANAL, V10, P189
[10]   On q-Laplace type integral operators and their applications [J].
Ucar, Faruk ;
Albayrak, Durmus .
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2012, 18 (06) :1001-1014