Research Article
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A New Subclass of Meromorfic Starlike Functions Defined by Certain Integral Operator

Year 2020, Issue: 30, 45 - 52, 26.03.2020

Abstract

The aim of this paper is to introduce a new class  \sum \limits _p * ( \alpha , \beta , \sigma) of

meromorphically starlike functions defined by certain integral operator in the unit disc  E= { z \mid 0 < |z| <1} and investigate

coefficients, distortion properties and radius of convexity for the class. Furthermore, it is shown that the class




\sum \limits _p * ( \alpha , \beta , \sigma) is closed under convex linear combinations and integral transforms.

Supporting Institution

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Project Number

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References

  • Ch. Pommarenke, On Meromorphic Starlike Functions, Pacific Journal of Mathematics 13 (1963) 221-235.
  • J. Clunie, On Meromorphic Schlicht Functions, Journal of the London Mathematical Society 34 (1959) 215-216.
  • W. C. Royster, Meromorphic Starlike Multivalent Functions, Transactions of the American Mathematical Society 107 (1963) 300-308.
  • I. B. Jung, Y. C. Kim, H. M. Srivastava, The Hardy Space of Analytic Functions Associated with Certain One-Parameter Families of Integral Operators, Journal of Mathematical Analysis and Applications 176 (1993) 138-147.
  • O. P. Juneja, T. R. Reddy, Meromorphic Starlike Univalent Functions with Positive Coefficients, Annales Universitatis Mariae Curie-Sklodowska, sectio A 39 (1985) 65-76.
  • W. G. Atshan, S. R. Kulakarni, Meromorphic p-Valent Functions with Positive Coefficients Defi ned by Convolution and Integral Operator, The Journal of the Indian Academy of Mathematics 29 (2007) 409-423.
Year 2020, Issue: 30, 45 - 52, 26.03.2020

Abstract

Project Number

no

References

  • Ch. Pommarenke, On Meromorphic Starlike Functions, Pacific Journal of Mathematics 13 (1963) 221-235.
  • J. Clunie, On Meromorphic Schlicht Functions, Journal of the London Mathematical Society 34 (1959) 215-216.
  • W. C. Royster, Meromorphic Starlike Multivalent Functions, Transactions of the American Mathematical Society 107 (1963) 300-308.
  • I. B. Jung, Y. C. Kim, H. M. Srivastava, The Hardy Space of Analytic Functions Associated with Certain One-Parameter Families of Integral Operators, Journal of Mathematical Analysis and Applications 176 (1993) 138-147.
  • O. P. Juneja, T. R. Reddy, Meromorphic Starlike Univalent Functions with Positive Coefficients, Annales Universitatis Mariae Curie-Sklodowska, sectio A 39 (1985) 65-76.
  • W. G. Atshan, S. R. Kulakarni, Meromorphic p-Valent Functions with Positive Coefficients Defi ned by Convolution and Integral Operator, The Journal of the Indian Academy of Mathematics 29 (2007) 409-423.
There are 6 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

B Venkateswarlu 0000-0003-3669-350X

P. Thırupathı Reddy 0000-0002-0034-444X

R. Madhuri Shilpa

Project Number no
Publication Date March 26, 2020
Submission Date May 4, 2019
Published in Issue Year 2020 Issue: 30

Cite

APA Venkateswarlu, B., Thırupathı Reddy, P., & Madhuri Shilpa, R. (2020). A New Subclass of Meromorfic Starlike Functions Defined by Certain Integral Operator. Journal of New Theory(30), 45-52.
AMA Venkateswarlu B, Thırupathı Reddy P, Madhuri Shilpa R. A New Subclass of Meromorfic Starlike Functions Defined by Certain Integral Operator. JNT. March 2020;(30):45-52.
Chicago Venkateswarlu, B, P. Thırupathı Reddy, and R. Madhuri Shilpa. “A New Subclass of Meromorfic Starlike Functions Defined by Certain Integral Operator”. Journal of New Theory, no. 30 (March 2020): 45-52.
EndNote Venkateswarlu B, Thırupathı Reddy P, Madhuri Shilpa R (March 1, 2020) A New Subclass of Meromorfic Starlike Functions Defined by Certain Integral Operator. Journal of New Theory 30 45–52.
IEEE B. Venkateswarlu, P. Thırupathı Reddy, and R. Madhuri Shilpa, “A New Subclass of Meromorfic Starlike Functions Defined by Certain Integral Operator”, JNT, no. 30, pp. 45–52, March 2020.
ISNAD Venkateswarlu, B et al. “A New Subclass of Meromorfic Starlike Functions Defined by Certain Integral Operator”. Journal of New Theory 30 (March 2020), 45-52.
JAMA Venkateswarlu B, Thırupathı Reddy P, Madhuri Shilpa R. A New Subclass of Meromorfic Starlike Functions Defined by Certain Integral Operator. JNT. 2020;:45–52.
MLA Venkateswarlu, B et al. “A New Subclass of Meromorfic Starlike Functions Defined by Certain Integral Operator”. Journal of New Theory, no. 30, 2020, pp. 45-52.
Vancouver Venkateswarlu B, Thırupathı Reddy P, Madhuri Shilpa R. A New Subclass of Meromorfic Starlike Functions Defined by Certain Integral Operator. JNT. 2020(30):45-52.


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