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Differentiation of integral Mittag-Leffler and integral Wright functions with respect to parameters

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Main Authors: Alexander, Apelblat, Juan Luis, González-Santander
Format: Book
Language:English
Published: Springer 2023
Subjects:
MATHEMATICA
Mittag-Leffler function
Online Access:https://link.springer.com/article/10.1007/s13540-023-00142-7
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7414
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spelling oai:localhost:PNK-74142023-04-03T02:41:51Z Differentiation of integral Mittag-Leffler and integral Wright functions with respect to parameters Alexander, Apelblat Juan Luis, González-Santander MATHEMATICA Mittag-Leffler function CC BY Derivatives with respect to the parameters of the integral Mittag-Leffler function and the integral Wright function, recently introduced by us, are calculated. These derivatives can be expressed in the form of infinite sums of quotients of the digamma and gamma functions. In some particular cases, these infinite sums are calculated in closed-form with the help of MATHEMATICA. However, parameter differentiation reduction formulas are explicitly derived in order to check some of the results given by MATHEMATICA, as well as to provide many other new results. 2023-04-03T02:41:51Z 2023-04-03T02:41:51Z 2023 Book https://link.springer.com/article/10.1007/s13540-023-00142-7 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7414 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic MATHEMATICA
Mittag-Leffler function
spellingShingle MATHEMATICA
Mittag-Leffler function
Alexander, Apelblat
Juan Luis, González-Santander
Differentiation of integral Mittag-Leffler and integral Wright functions with respect to parameters
description CC BY
format Book
author Alexander, Apelblat
Juan Luis, González-Santander
author_facet Alexander, Apelblat
Juan Luis, González-Santander
author_sort Alexander, Apelblat
title Differentiation of integral Mittag-Leffler and integral Wright functions with respect to parameters
title_short Differentiation of integral Mittag-Leffler and integral Wright functions with respect to parameters
title_full Differentiation of integral Mittag-Leffler and integral Wright functions with respect to parameters
title_fullStr Differentiation of integral Mittag-Leffler and integral Wright functions with respect to parameters
title_full_unstemmed Differentiation of integral Mittag-Leffler and integral Wright functions with respect to parameters
title_sort differentiation of integral mittag-leffler and integral wright functions with respect to parameters
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s13540-023-00142-7
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7414
_version_ 1762184301556793344
score 8.891787

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