Khan Mumtaz Ahmad, Ahmed Shakeel
Department of Applied Mathematics, Faculty of Engineering, Aligarh Muslim University, Aligarh, 202002 India.
Springerplus. 2013 Jul 23;2:337. doi: 10.1186/2193-1801-2-337. eCollection 2013.
This paper deals with the study of a generalized function of Mittag-Leffler type. Various properties including usual differentiation and integration, Euler(Beta) transforms, Laplace transforms, Whittaker transforms, generalized hypergeometric series form with their several special cases are obtained and relationship with Wright hypergeometric function and Laguerre polynomials is also established.
2000 MATHEMATICS SUBJECT CLASSIFICATION: 33C45, 47G20, 26A33.
本文研究了米塔格 - 莱夫勒型的广义函数。得到了包括通常的微分和积分、欧拉（贝塔）变换、拉普拉斯变换、惠特克变换、广义超几何级数形式及其几个特殊情况在内的各种性质，并建立了与赖特超几何函数和拉盖尔多项式的关系。
2000数学学科分类：33C45、47G20、26A33。
