On a Generalized Convolution Operator

Recently in the paper [Mediterr. J. Math. 2016, 13, 1535–1553], the authors introduced and studied a new operator which was defined as a convolution of the three popular linear operators, namely the Sǎlǎgean operator, the Ruscheweyh operator a...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Poonam Sharma, Ravinder Krishna Raina, Janusz Sokół
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	analytic functions convolution subordination convex functions Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/c0c6bf68178341ab84b3bd666ea10c24
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:c0c6bf68178341ab84b3bd666ea10c24
record_format	dspace
spelling	oai:doaj.org-article:c0c6bf68178341ab84b3bd666ea10c242021-11-25T19:07:05ZOn a Generalized Convolution Operator10.3390/sym131121412073-8994https://doaj.org/article/c0c6bf68178341ab84b3bd666ea10c242021-11-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2141https://doaj.org/toc/2073-8994Recently in the paper [<i>Mediterr. J. Math.</i> <b>2016</b>, <i>13</i>, 1535–1553], the authors introduced and studied a new operator which was defined as a convolution of the three popular linear operators, namely the Sǎlǎgean operator, the Ruscheweyh operator and a fractional derivative operator. In the present paper, we consider an operator which is a convolution operator of only two linear operators (with lesser restricted parameters) that yield various well-known operators, defined by a symmetric way, including the one studied in the above-mentioned paper. Several results on the subordination of analytic functions to this operator (defined below) are investigated. Some of the results presented are shown to involve the familiar Appell function and Hurwitz–Lerch Zeta function. Special cases and interesting consequences being in symmetry of our main results are also mentioned.Poonam SharmaRavinder Krishna RainaJanusz SokółMDPI AGarticleanalytic functionsconvolutionsubordinationconvex functionsMathematicsQA1-939ENSymmetry, Vol 13, Iss 2141, p 2141 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	analytic functions convolution subordination convex functions Mathematics QA1-939
spellingShingle	analytic functions convolution subordination convex functions Mathematics QA1-939 Poonam Sharma Ravinder Krishna Raina Janusz Sokół On a Generalized Convolution Operator
description	Recently in the paper [<i>Mediterr. J. Math.</i> <b>2016</b>, <i>13</i>, 1535–1553], the authors introduced and studied a new operator which was defined as a convolution of the three popular linear operators, namely the Sǎlǎgean operator, the Ruscheweyh operator and a fractional derivative operator. In the present paper, we consider an operator which is a convolution operator of only two linear operators (with lesser restricted parameters) that yield various well-known operators, defined by a symmetric way, including the one studied in the above-mentioned paper. Several results on the subordination of analytic functions to this operator (defined below) are investigated. Some of the results presented are shown to involve the familiar Appell function and Hurwitz–Lerch Zeta function. Special cases and interesting consequences being in symmetry of our main results are also mentioned.
format	article
author	Poonam Sharma Ravinder Krishna Raina Janusz Sokół
author_facet	Poonam Sharma Ravinder Krishna Raina Janusz Sokół
author_sort	Poonam Sharma
title	On a Generalized Convolution Operator
title_short	On a Generalized Convolution Operator
title_full	On a Generalized Convolution Operator
title_fullStr	On a Generalized Convolution Operator
title_full_unstemmed	On a Generalized Convolution Operator
title_sort	on a generalized convolution operator
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/c0c6bf68178341ab84b3bd666ea10c24
work_keys_str_mv	AT poonamsharma onageneralizedconvolutionoperator AT ravinderkrishnaraina onageneralizedconvolutionoperator AT januszsokoł onageneralizedconvolutionoperator
_version_	1718410303325077504

On a Generalized Convolution Operator

Ejemplares similares