On certain subclasses of analytic functions involving a linear operator

J. Patel; G. P. Mohapatra

Annales Polonici Mathematici (2002)

  • Volume: 78, Issue: 2, page 159-173
  • ISSN: 0066-2216

Abstract

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A certain general class 𝓢(a,c,A,B) of analytic functions involving a linear operator is introduced. The objective is to investigate various properties and characteristics of this class. Several applications of the results (obtained here) to a class of fractional calculus operators are also considered. The results contain some of the earlier work in univalent function theory.

How to cite

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J. Patel, and G. P. Mohapatra. "On certain subclasses of analytic functions involving a linear operator." Annales Polonici Mathematici 78.2 (2002): 159-173. <http://eudml.org/doc/280615>.

@article{J2002,
abstract = {A certain general class 𝓢(a,c,A,B) of analytic functions involving a linear operator is introduced. The objective is to investigate various properties and characteristics of this class. Several applications of the results (obtained here) to a class of fractional calculus operators are also considered. The results contain some of the earlier work in univalent function theory.},
author = {J. Patel, G. P. Mohapatra},
journal = {Annales Polonici Mathematici},
keywords = {differential subordination; hypergeometric functions; Hadamard product (or convolution)},
language = {eng},
number = {2},
pages = {159-173},
title = {On certain subclasses of analytic functions involving a linear operator},
url = {http://eudml.org/doc/280615},
volume = {78},
year = {2002},
}

TY - JOUR
AU - J. Patel
AU - G. P. Mohapatra
TI - On certain subclasses of analytic functions involving a linear operator
JO - Annales Polonici Mathematici
PY - 2002
VL - 78
IS - 2
SP - 159
EP - 173
AB - A certain general class 𝓢(a,c,A,B) of analytic functions involving a linear operator is introduced. The objective is to investigate various properties and characteristics of this class. Several applications of the results (obtained here) to a class of fractional calculus operators are also considered. The results contain some of the earlier work in univalent function theory.
LA - eng
KW - differential subordination; hypergeometric functions; Hadamard product (or convolution)
UR - http://eudml.org/doc/280615
ER -

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