关于多指标Wright广义贝塞尔函数的结果

N. Khan, M. Iqbal Khan
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引用次数: 0

摘要

摘要本文利用扩展函数得到了多指标莱特广义贝塞尔函数的若干积分表示。该函数是广义Bessel-Maitland函数的一部分,该广义Bessel-Maitland函数是由Özarsalan和Özergin开发的广义Bessel-Maitland函数的扩展分数导数得到的。Ali Özarslan和E. Özergin,利用广义分数阶导数算子的扩展超几何函数的一些生成关系,数学。第一版。模型。52,2010,9-10,1825-1833]。此外,我们还证明了多指标Wright广义Bessel函数与Laguerre多项式和Whittaker函数的令人兴奋的联系。进一步,利用广义Wright超几何函数计算了Mellin变换和Mellin变换的逆。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Results concerning multi-index Wright generalized Bessel function
Abstract In this article, we get certain integral representations of the multi-index Wright generalized Bessel function by making use of the extended beta function. This function is presented as a part of the generalized Bessel–Maitland function obtained by taking the extended fractional derivative of the generalized Bessel–Maitland function developed by Özarsalan and Özergin [M. Ali Özarslan and E. Özergin, Some generating relations for extended hypergeometric functions via generalized fractional derivative operator, Math. Comput. Model. 52 2010, 9–10, 1825–1833]. In addition, we demonstrate the exciting connections of the multi-index Wright generalized Bessel function with Laguerre polynomials and Whittaker function. Further, we use the generalized Wright hypergeometric function to calculate the Mellin transform and the inverse of the Mellin transform.
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