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An Application of Subclasses of Harmonic Univalent Functions Involving Hypergeometric Function

Cilt: 10 Sayı: 2 30 Aralık 2020
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An Application of Subclasses of Harmonic Univalent Functions Involving Hypergeometric Function

Öz

The main purpose of this paper is to establish connections between various subclasses of harmonic univalent functions by applying certain convolution operator involving hypergeometric functions. We investigate such connections with Goodman- Salagean-Type harmonic univalent functions in the open unit disc U.

Anahtar Kelimeler

Kaynakça

  1. [1] Hohlov, Y.E., Convolution operators preserving univalent functions, Ukrainian Mathematical Journal, 37, 220-226, 1985.
  2. [2] de Branges, L., A proof of the Bieberbach conjecture, Acta Mathematica, 154, 137- 152, 1985.
  3. [3] Ahuja, O.P., Connections between various subclasses of planar harmonic mappings Involving hypergeometric functions , Applied Mathematics and Computation, 198 (1), 305-316, 2008.
  4. [4] Carleson, B.C., Shaffer, D.B., Starlike and prestarlike hypergeometric functions, SIAM Journal on Mathematical Analysis, 15, 737-745, 1984.
  5. [5] Owa, S., Srivastava, H.M., Univalent and starlike generalized hypergeometric functions, Canadian Journal of Mathematics, 39, 1057-1077, 1987.
  6. [6] Miller, S., Mocanu, P.T., Univalence of Gaussian and confluent hypergeometric Functions, Proceedings of American Mathematical Society, 110(2), 333-342, 1990.
  7. [7] Ruscheweyh, S., Singh, V., On the order of starlikeness of hypergeometric functions, Journal of Mathematical Analysis and Applications, 113, 1-11, 1986.
  8. [8] Srivastava, H.M., Manocha, H.L., A Treatise on Generating Functions, Ellis Horwood Limited and John Wiley & Sons, New York, Chichester, Toronto, 1984.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Aralık 2020

Gönderilme Tarihi

27 Ocak 2020

Kabul Tarihi

11 Aralık 2020

Yayımlandığı Sayı

Yıl 2020 Cilt: 10 Sayı: 2

Kaynak Göster

APA
Atshan, W. G., Abd, E. H., & Yalcın, S. (2020). An Application of Subclasses of Harmonic Univalent Functions Involving Hypergeometric Function. Adıyaman University Journal of Science, 10(2), 595-607. https://doi.org/10.37094/adyujsci.680530
AMA
1.Atshan WG, Abd EH, Yalcın S. An Application of Subclasses of Harmonic Univalent Functions Involving Hypergeometric Function. ADYU J SCI. 2020;10(2):595-607. doi:10.37094/adyujsci.680530
Chicago
Atshan, Waggas Galib, Enaam Hadi Abd, ve Sibel Yalcın. 2020. “An Application of Subclasses of Harmonic Univalent Functions Involving Hypergeometric Function”. Adıyaman University Journal of Science 10 (2): 595-607. https://doi.org/10.37094/adyujsci.680530.
EndNote
Atshan WG, Abd EH, Yalcın S (01 Aralık 2020) An Application of Subclasses of Harmonic Univalent Functions Involving Hypergeometric Function. Adıyaman University Journal of Science 10 2 595–607.
IEEE
[1]W. G. Atshan, E. H. Abd, ve S. Yalcın, “An Application of Subclasses of Harmonic Univalent Functions Involving Hypergeometric Function”, ADYU J SCI, c. 10, sy 2, ss. 595–607, Ara. 2020, doi: 10.37094/adyujsci.680530.
ISNAD
Atshan, Waggas Galib - Abd, Enaam Hadi - Yalcın, Sibel. “An Application of Subclasses of Harmonic Univalent Functions Involving Hypergeometric Function”. Adıyaman University Journal of Science 10/2 (01 Aralık 2020): 595-607. https://doi.org/10.37094/adyujsci.680530.
JAMA
1.Atshan WG, Abd EH, Yalcın S. An Application of Subclasses of Harmonic Univalent Functions Involving Hypergeometric Function. ADYU J SCI. 2020;10:595–607.
MLA
Atshan, Waggas Galib, vd. “An Application of Subclasses of Harmonic Univalent Functions Involving Hypergeometric Function”. Adıyaman University Journal of Science, c. 10, sy 2, Aralık 2020, ss. 595-07, doi:10.37094/adyujsci.680530.
Vancouver
1.Waggas Galib Atshan, Enaam Hadi Abd, Sibel Yalcın. An Application of Subclasses of Harmonic Univalent Functions Involving Hypergeometric Function. ADYU J SCI. 01 Aralık 2020;10(2):595-607. doi:10.37094/adyujsci.680530

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