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Starlike and convex functions with respect to symmetric conjugate points involving conical domain

  • C. Ramachandran EMAIL logo , R. Ambrose Prabhu and Srikandan Sivasubramanian
Published/Copyright: February 9, 2018
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Mathematica Slovaca
From the journal Mathematica Slovaca Volume 68 Issue 1

Abstract

Enough attentions to domains related to conical sections has not been done so far although it deserves more. Making use of the conical domain the authors have defined a new class of starlike and Convex Functions with respect to symmetric points involving the conical domain. Growth and distortion estimates are studied with convolution using domains bounded by conic regions. Certain coefficient estimates are obtained for domains bounded by conical region. Finally interesting application of the results are also highlighted for the function Ωk,β defined by Noor.

MSC 2010: Primary: 30C45; 30C55; 30C80
Keywords: analytic function; univalent function; differential subordination; Hadamard product and conical region

Communicated by Stanisława Kanas

Acknowledgement

The work of the third author is supported by a grant from Department of Science and Technology, Government of India vid ref: SR/FTP/MS-022/2012 under fast track scheme.

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Received: 2015-10-3
Accepted: 2016-5-15
Published Online: 2018-2-9
Published in Print: 2018-2-23

© 2018 Mathematical Institute Slovak Academy of Sciences

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  4. Characterization of posets for order-convergence being topological
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  18. Applications of Henstock-Kurzweil integrals on an unbounded interval to differential and integral equations
  20. Starlike and convex functions with respect to symmetric conjugate points involving conical domain
  22. Summations of Schlömilch series containing anger function terms
  24. Some vector valued sequence spaces of Musielak-Orlicz functions and their operator ideals
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https://doi.org/10.1515/ms-2017-0083
Keywords for this article
analytic function; univalent function; differential subordination; Hadamard product and conical region

Articles in the same Issue

  2. On the number of cycles in a graph
  4. Characterization of posets for order-convergence being topological
  6. Classification of posets using zero-divisor graphs
  8. On a generalized concept of order relations on B(H)
  10. A study of stabilizers in triangle algebras
  12. Revealing two cubic non-residues in a quadratic field locally
  14. Codensity and stone spaces
  16. Big mapping class groups are not acylindrically hyperbolic
  18. Applications of Henstock-Kurzweil integrals on an unbounded interval to differential and integral equations
  20. Starlike and convex functions with respect to symmetric conjugate points involving conical domain
  22. Summations of Schlömilch series containing anger function terms
  24. Some vector valued sequence spaces of Musielak-Orlicz functions and their operator ideals
  26. Nuclear operators on Cb(X, E) and the strict topology
  28. More on cyclic amenability of the Lau product of Banach algebras defined by a Banach algebra morphism
  30. Matrix generalized (θ, ϕ)-derivations on matrix Banach algebras
  32. Nonlinear ∗-Jordan triple derivations on von Neumann algebras
  34. Addendum to “A sequential implicit function theorem for the chords iteration”, Math. Slovaca 63(5) (2013), 1085–1100
  36. Comparison of density topologies on the real line
  38. Rational homotopy of maps between certain complex Grassmann manifolds
  40. Examples of random fields that can be represented as space-domain scaled stationary Ornstein-Uhlenbeck fields
  42. Rothe’s method for physiologically structured models with diffusion
  44. Zero-divisor graphs of lower dismantlable lattices II
  46. An identity of symmetry for the degenerate Frobenius-Euler Polynomials
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