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Journals / Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2026 / Cilt: 11 Sayı: 1

Examining the Function of Meromorphic with Using the Linear Convolution Operator

Hasan Şahin(DÜZCE ÜNİVERSİTESİ, FEN BİLİMLERİ ENSTİTÜSÜ)0000-0002-5227-5300
Pages
609–616
Publication Date
2021-03-01
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AI Summary & Key Takeaways

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

In this way proves is provided.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, it is mentioned that meromorphic functions are univalent functions that are analytical everywhere.
📊
Key Findings & Data:It is a function that satisfies the condition   0 hz  .
💡
Conclusion & Impact:In this way proves is provided.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Meromorphic function · Univalent function · Hadamard product

Abstract

In this study, it is mentioned that meromorphic functions are univalent functions that are analytical everywhere. Complex analytical transformations were investigated by mentioning the necessary form for f (z) to have meromorphic function. It is a function that satisfies the condition   0 hz  . For analytic functions of f and g in the D unit disk, ()fz shows the meromorphic function class with P and subclasses of the P meromorphic analytical function class using the subordination principle between functions with the help of Hadamard product and linear operators. In this way proves is provided.

Özet

In this study, it is mentioned that meromorphic functions are univalent functions that are analytical everywhere. Complex analytical transformations were investigated by mentioning the necessary form for f (z) to have meromorphic function. It is a function that satisfies the condition   0 hz  . For analytic functions of f and g in the D unit disk, ()fz shows the meromorphic function class with P and subclasses of the P meromorphic analytical function class using the subordination principle between functions with the help of Hadamard product and linear operators. In this way proves is provided.

🔖

Cite This Article

Şahin, H. (2021). Examining the Function of Meromorphic with Using the Linear Convolution Operator. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 11 Sayı: 1, 609–616. https://doi.org/10.21597/jist.807358

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References (18)

  1. Alexander JW, 1915. Functions which map the interior of the unit circle upon simple regions, Annals of Math. 17, 15-22.
  2. Cho NE, Owa S, 2004. Partial Sums of certain meromorphic functions, J. Inequal. Pure and Appl. Math., 5(2) Art. 30.
  3. Cho NE, Kim IH, 2007. Inclusion properties of certain classes of meromorphic functions associated with the generalized hypergeometric function, Appl. Math. Compu., 187 (1), 115 121.
  4. Dziok J, Srivastava HM, 2003. Certain subclasses of analytic functions associated with the generalized hypergeometric function, Integral Transforms Spec. Funct., 14 (1),7-18.
  5. Gonchar AA, Havin VP, Nikolski NK, 2001. Complex Analysis I. Springer-Verlag, pp 4, Newyork.Goodman A W, 1983. Univalent functions, Vol. I, Mariner Publ. Co., Tampa, FI.
  6. Krantz SG, 1999. Handbook of Complex Variables,, Birkhuser, Boston, MA.
  7. Liu J, Owa S, 1998. On certain meromorphic p-valent functions, Taiwanese J. Math. 2(1), pp. 107-110.
  8. MacGregor TH, Thomas HA, 1974/75. Subordination for convex functions of order. J. London Math. Soc. (2) 9, 530-536.
  9. Marx A, 1936. Untersuchungen ¸ber schlichte Funktionen, Math. Ann. 107, 40-67.
  10. Miller SS, Mocanu PT, 1985. On some classes of first order differential subordinations, Michigan Math. J., 32,185-195.
  11. Miller J, 1970. Convex meromorphic mappings and related functions, Proc. Amer. Math. Soc., 25, 220-228.
  12. Mogra L, 1991. Hadamard product of certain meromorphic univalent functions, J. Math. Anal. Appl., 157,10-16.
  13. Nevanlinna R, 1921. über die konforme Abbildung von Sterngebieten, Ofvers. Finska 58 Vet. Soc. Förh., 53 (A), Nr. 6.
  14. Nunokawa M, Ahuja OP, 2001. On meromorphic starlike and convex functions, Indian Pure Appl. Math., 32(7), 1027-1032.
  15. Pommerenke Ch, 1963. On meromorphic starlike functions. Pacific J. Math. 13 221-235.
  16. Royster WC, 1963. Meromorphic Starlike, Trans. Amer. Math. Soc. Vol. 107, No. 2, pp. 300-308.
  17. Srivastava HM, Owa S, 1986. A certain one parameter additive family of operators defined on analytic functions, Journal of mathematıcal analysıs and applıcatıons 118, 80-87.
  18. Strohhacker E, 1933. Beitrage zur Theorie der schlichten Funktionen, Math. Z. 37, 356-380.