# 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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