Journals / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 4

Univalence of certain integral operators involving generalized Struve functions

Pages
821–833
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Some special cases of Struve functions and modified Struve functions are also a part of our investigations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we are mainly interested to find sufficient conditions for some integral operators defined by generalized Struve functions.
📊
Key Findings & Data:These operators are normalized and as well as univalent in the open unit disc $\mathcal{U}$.
💡
Conclusion & Impact:Some special cases of Struve functions and modified Struve functions are also a part of our investigations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Univalence conditions · Integral operators · Generalized Struve functions

Abstract

In this paper, we are mainly interested to find sufficient conditions for some integral operators defined by generalized Struve functions. These operators are normalized and as well as univalent in the open unit disc $\mathcal{U}$. Some special cases of Struve functions and modified Struve functions are also a part of our investigations.

🔖

Cite This Article

SRIVASTAVA, H. M., DİN, M. U., RAZA, M. (2022). Univalence of certain integral operators involving generalized Struve functions. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 4, 821–833. https://ajindex.com/articles/529812

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (19)

  1. Abramowitz, M. and Stegun, I. A. Handbook of Mathematical Functions (Dover, New York, 1972).
  2. Arif, M. and Raza, M. Some properties of an integral operator defi ned by Bessel functions, Acta Universitatis Apulensis 26, 6974, 2011.
  3. Baricz, A., Dimitrov, D.K., Orhan, H. and Yagmur, N. Radii of starlikeness of some special functions, Proc. Amer. Math. Soc. 144(8) 33553367, 2016.
  4. Baricz, A. and Frasin, B.A. Univalence of integral operators involving Bessel functions, Appl. Math. Lett., 23, 371276, 2010.
  5. Breaz, D. Univalence properties for a general integral operator, Bull. Korean Math. Soc, 46(3), 439446, 2009.
  6. Breaz, D., Breaz, N. and Srivastava, H. M. An extension of the univalent condition for a family of integral operators, Appl. Math. Lett. 22, 4144, 2009.
  7. Breaz, D. and Güney, H.O. On the univalence criterion of a general integral operator, J. Inequal. Appl. Volume 2008, Article ID 702715, 8 pages, doi:10.1155/2008/702715. Breaz, D., Owa, S. and Breaz, N. A new integral univalent operator, Acta Univ. Apulensis Math. Inform., 16, 1116, 2008.
  8. Bulut, S. Univalence preserving integral operators defi ned by generalized Al-Oboudi dierential operators, An. St. Univ. Ovidius Constata 17, 3750, 2009.
  9. Deniz, E. Convexity of integral operators involving generalized Bessel functions, Integral Transforms Spec. Funct. 24(3), 201216, 2013.
  10. Deniz, E. On the univalence of two general integral operators, Filomat, 29(7), 15811586, 2015.
  11. Deniz, E. Univalence criteria for a general integral operator, Filomat 28(1), 1119, 2014.
  12. Deniz, E. and Orhan, H. Loewner chains and univalence criteria related with Ruscheweyh and Slgean derivatives, J. Appl. Anal. Comput. 5(3), 465478, 2015.
  13. Deniz, E. and Orhan, H. Some notes on extensions of basic univalence criteria, J. Korean Math. Soc. 48(1), 179189, 2011.
  14. Deniz, E. and Orhan, H. Univalence criterion for meromorphic functions and Loewner chains, Appl. Math. Comput. 218(6), 751755, 2011.
  15. Deniz, E., Orhan, H. and Srivastava, H.M. Some su fficient conditions for univalence of certain families of integral operators involving generalized Bessel functions, Taiwanese J. Math. 15(2), 883917, 2011.
  16. Frasin, B.A. Some su fficient conditions for certain integral operators, J. Math. Ineq. 2(4), 527535, 2008.
  17. Frasin, B.A. Su fficient conditions for integral operator defi ned by Bessel functions, J. Math. Ineq. 4(2), 301306, 2010.
  18. Frasin, B.A. Univalence criteria for general integral operator, Math. Commun. 16, 115124, 2011.
  19. Kanas, S