A note on generalized subclasses of multivalent quasi-convex functions-Reference-Cited by-同舟云学术

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A note on generalized subclasses of multivalent quasi-convex functions

Published:2022-05-01 Issue:1 Volume:18 Page:93-107
ISSN:1339-0015
Container-title:Journal of Applied Mathematics, Statistics and Informatics
language:en
Short-container-title:

Author:

Singh G.¹,Singh G.²

Affiliation:

1. Department of Mathematics , Khalsa College , Amritsar - , Punjab , India

2. Department of Mathematics , G.N.D.U. College , Chungh ( Punjab ), India .

Abstract

Abstract This paper is concerned with certain generalized subclasses of multivalent quasi-convex functions defined with subordination. Various properties of these classes in regard to the coefficient estimates, distortion theorems, growth theorems, argument theorems and inclusion relations are discussed. Also, the relations with the earlier known results are established.

Publisher

Walter de Gruyter GmbH

Subject

General Medicine

Link

https://www.sciendo.com/pdf/10.2478/jamsi-2022-0007

Reference28 articles.

1. H. R. Abdel-Gawad and D. K. Thomas, A subclass of close-to-convex functions, Publ. Inst. Math. (N. S.), 49(63)(1991), 61-66.

2. M. K. Aouf, On a class of p-valent starlike functions of order α, Int. J. Math. Math. Sci., 10(4)(1987), 733-744.10.1155/S0161171287000838

3. M. K. Aouf, On a class of p-valent close-to-convex functions of order β and type α, Int. J. Math. Math. Sci., 11(2)(1988), 259-266.10.1155/S0161171288000316

4. M. K. Aouf, On subclasses of p-valent close-to-convex functions, Tamkang J. Math., 22(2)(1991), 133-143.10.5556/j.tkjm.22.1991.4586

5. R. M. Goel and B. S. Mehrok, On a class of close-to-convex functions, Ind. J. Pure Appl. Math., 12(5)(1981), 648-658.

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