Differentiation of integral Mittag-Leffler and integral Wright functions with respect to parameters
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Springer
2023
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Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s13540-023-00142-7 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7414 |
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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 |