Integral transforms of the S-functions

<p<The object of this paper is to introduce a new special function, which will be called S-function. This function is an extension of the generalized Mittag-Leffler function due to Prabhakar [7], generalized Mittag-Leffler function introduced by Srivastava and Tomovski [14] and M-series given...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Jitendra Daiya [verfasserIn] Ram Kishore Saxena [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch ; Französisch ; Italienisch

Erschienen:	2015

Schlagwörter:	Euler transform Laplace transform Whittaker transform fractional Fourier transform generalized k-Mittag-Leffler function generalized Wright function

Übergeordnetes Werk:	In: Le Matematiche - Università degli Studi di Catania, 2010, 70(2015), 2, Seite 147-159
Übergeordnetes Werk:	volume:70 ; year:2015 ; number:2 ; pages:147-159

Links:	Link aufrufen Link aufrufen Journal toc Journal toc

Katalog-ID:	DOAJ057521964

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language	English French Italian
source	In Le Matematiche 70(2015), 2, Seite 147-159 volume:70 year:2015 number:2 pages:147-159
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institution	findex.gbv.de
topic_facet	Euler transform Laplace transform Whittaker transform fractional Fourier transform generalized k-Mittag-Leffler function generalized Wright function Mathematics
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container_title	Le Matematiche
authorswithroles_txt_mv	Jitendra Daiya @@aut@@ Ram Kishore Saxena @@aut@@
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callnumber-first	Q - Science
author	Jitendra Daiya
spellingShingle	Jitendra Daiya misc QA1-939 misc Euler transform misc Laplace transform misc Whittaker transform misc fractional Fourier transform misc generalized k-Mittag-Leffler function misc generalized Wright function misc Mathematics Integral transforms of the S-functions
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topic_title	QA1-939 Integral transforms of the S-functions Euler transform Laplace transform Whittaker transform fractional Fourier transform generalized k-Mittag-Leffler function generalized Wright function
topic	misc QA1-939 misc Euler transform misc Laplace transform misc Whittaker transform misc fractional Fourier transform misc generalized k-Mittag-Leffler function misc generalized Wright function misc Mathematics
topic_unstemmed	misc QA1-939 misc Euler transform misc Laplace transform misc Whittaker transform misc fractional Fourier transform misc generalized k-Mittag-Leffler function misc generalized Wright function misc Mathematics
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title	Integral transforms of the S-functions
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title_auth	Integral transforms of the S-functions
abstract	<p<The object of this paper is to introduce a new special function, which will be called S-function. This function is an extension of the generalized Mittag-Leffler function due to Prabhakar [7], generalized Mittag-Leffler function introduced by Srivastava and Tomovski [14] and M-series given by Sharma and Jain [13], various integral transform of this function such as Euler transform, Laplace transform, Whittaker transform, K-transform are derived. The results obtained are useful in applied problems of science, engineering and technology.<strong<</strong<</p<
abstractGer	<p<The object of this paper is to introduce a new special function, which will be called S-function. This function is an extension of the generalized Mittag-Leffler function due to Prabhakar [7], generalized Mittag-Leffler function introduced by Srivastava and Tomovski [14] and M-series given by Sharma and Jain [13], various integral transform of this function such as Euler transform, Laplace transform, Whittaker transform, K-transform are derived. The results obtained are useful in applied problems of science, engineering and technology.<strong<</strong<</p<
abstract_unstemmed	<p<The object of this paper is to introduce a new special function, which will be called S-function. This function is an extension of the generalized Mittag-Leffler function due to Prabhakar [7], generalized Mittag-Leffler function introduced by Srivastava and Tomovski [14] and M-series given by Sharma and Jain [13], various integral transform of this function such as Euler transform, Laplace transform, Whittaker transform, K-transform are derived. The results obtained are useful in applied problems of science, engineering and technology.<strong<</strong<</p<
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