Applications of the Owa-Srivastava Operator to the Class of K-Uniformly Convex Functions
Fractional Calculus and Applied Analysis (2006)
- Volume: 9, Issue: 4, page 323-331
- ISSN: 1311-0454
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topMishra, A. K., and Gochhayat, P.. "Applications of the Owa-Srivastava Operator to the Class of K-Uniformly Convex Functions." Fractional Calculus and Applied Analysis 9.4 (2006): 323-331. <http://eudml.org/doc/11284>.
@article{Mishra2006,
abstract = {2000 Mathematics Subject Classification: Primary 30C45, 26A33; Secondary 33C15By making use of the fractional differential operator Ω^λz (0 ≤ λ < 1) due
to Owa and Srivastava, a new subclass of univalent functions denoted by
k−SPλ (0 ≤ k < ∞) is introduced. The class k−SPλ unifies the concepts of
k-uniformly convex functions and k-starlike functions. Certain basic
properties of k − SPλ such as inclusion theorem, subordination theorem, growth
theorem and class preserving transforms are studied.* The present investigation is partially supported by National Board
for Higher Mathematics, Department of Atomic Energy, Government of
India under Grant No. 48/2/2003-R&D-II},
author = {Mishra, A. K., Gochhayat, P.},
journal = {Fractional Calculus and Applied Analysis},
keywords = {k-Uniformly Convex Function; Carlson-Shaffer Operator; Fractional Derivative; Subordination; Hadamard Product; fractional differential operator; subordination; Hadamard product; Carleson-Shaffer operator},
language = {eng},
number = {4},
pages = {323-331},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Applications of the Owa-Srivastava Operator to the Class of K-Uniformly Convex Functions},
url = {http://eudml.org/doc/11284},
volume = {9},
year = {2006},
}
TY - JOUR
AU - Mishra, A. K.
AU - Gochhayat, P.
TI - Applications of the Owa-Srivastava Operator to the Class of K-Uniformly Convex Functions
JO - Fractional Calculus and Applied Analysis
PY - 2006
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 9
IS - 4
SP - 323
EP - 331
AB - 2000 Mathematics Subject Classification: Primary 30C45, 26A33; Secondary 33C15By making use of the fractional differential operator Ω^λz (0 ≤ λ < 1) due
to Owa and Srivastava, a new subclass of univalent functions denoted by
k−SPλ (0 ≤ k < ∞) is introduced. The class k−SPλ unifies the concepts of
k-uniformly convex functions and k-starlike functions. Certain basic
properties of k − SPλ such as inclusion theorem, subordination theorem, growth
theorem and class preserving transforms are studied.* The present investigation is partially supported by National Board
for Higher Mathematics, Department of Atomic Energy, Government of
India under Grant No. 48/2/2003-R&D-II
LA - eng
KW - k-Uniformly Convex Function; Carlson-Shaffer Operator; Fractional Derivative; Subordination; Hadamard Product; fractional differential operator; subordination; Hadamard product; Carleson-Shaffer operator
UR - http://eudml.org/doc/11284
ER -
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