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Fekete-Szegö Problem for Certain Subclass of Analytic Functions with Complex Order Defined by q-Analogue of Ruscheweyh Operator

Yıl 2020, , 36 - 44, 01.03.2020
https://doi.org/10.33205/cma.648478

Öz

In this paper, we study Fekete-Szegö Problem for certain subclass of analytic functions with complex order in the open unit disk by applying the q-analogue of Ruscheweyh operator in conjunction with the principle of subordination between analytic functions.

Destekleyen Kurum

0

Proje Numarası

0

Teşekkür

0

Kaynakça

  • H. Aldweby and M. Darus, Some subordination results on q-analogue of Ruscheweyh differential operator, Abstract and Applied Analysis, vol. 2014,Art. ID 958563, 1-6, 2014.
  • H. Aldweby and M. Darus, Coefficient estimates of classes of q-starlike and q-convex functions, Advanced Studies in Contemporary Math., 26(2016), no. 1, 21-26.
  • H. Aldweby and M. Darus, On Fekete-Szegö problems for certain subclasses defined by q-derivative, J. Function Spaces, Vol. 2017, Art. ID 7156738, 1-5, 2017.
  • F. M. Al-Oboudi and M. M. Haidan, Spirallike functions of complex order, J. Natur. Geom., 19(2000), 53-72.
  • M. K. Aouf, F. M. Al-Oboudi and M. M. Haidan, On some results for λ-spirallike and λ-Robertson functions of complex order, Publ. Instit. Math. Belgrade, 77(2005), no. 91, 93-98.
  • A. Aral, V. Gupta, and R. P.Agarwal, Applications of q-Calculus in Operator Theory, Springer, New York, USA, 2013.
  • T. Bulboacă, Differential Subordinations and Superordinations, Recent Results, House of Scientific Book Publ., Cluj-Napoca, 2005.
  • B. A. Frasin, Family of analytic functions of complex order, Acta Math. Acad. Paedagog. Nyházi. (N. S.), 22(2006), no.2, 179-191.
  • F. H. Jackson, On q-definite integrals, Quarterly J. Pure Appl. Math., 41(1910), 193--203.
  • F. H. Jackson, On q-functions and a certain difference operator, Transactions of the Royal Society of Edinburgh, 46(1908), 253--281.
  • W. C. Ma and D. Minda, A unified treatment of some special classes of univalent functions, in Proceedings of the Conference on Complex Analysis (Tianjin, 1992), 157--169, Internat. Press, Cambridge, MA.
  • S. S. Miller and P. T. Mocanu, Differential Subordinations: Theory and Applications, Series on Monographs and Textbooks in Pure and Applied Mathematics, Vol. 225, Marcel Dekker, New York and Basel, 2000.
  • M. A. Nasr and M. K. Aouf, On convex functions of complex order, Mansoura Bull. Sci., 8(1982), 565--582.
  • M. A. Nasr and M. K. Aouf, Starlike function of complex order, J. Natur. Sci. Math., 25(1985), 1--12.V. Ravichandran, Yasar Polatoglu, Metin Bolcal and Arsu Sen, Certain subclasses of starlike and convex functions of complex order, Hacettepe J. Math. Stat., 34(2005), 9-15.
  • V. Ravichandran, Y. Polatoglu, M. Bolcal and A. Sen: Certain subclasses of starlike and convex functions of complex order. Hacettepe J. Math. Stat. 34 (2005), 9-15.
  • St. Ruscheweyh, New criteria for univalent functions, Proc. Amer. Math. Soc., 49(1975), 109--115.
  • M. S. Robertson, On the theory of univalent functions, Ann. Math., 37(1936), 374- 408.
  • T. M. Seoudy and M. K. Aouf, Coefficient estimates of new classes of q-starlike and q-convex functions of complex order, J. Math. Inequal., 10 (2016), 135-145.
  • P. Wiatrowski, On the coefficients of some family of holomorphic functions, Zeszyty Nauk. Uniw. Łódz, Nauk. Mat.-Przyr., 39(1970), 75--85.
Yıl 2020, , 36 - 44, 01.03.2020
https://doi.org/10.33205/cma.648478

Öz

Proje Numarası

0

Kaynakça

  • H. Aldweby and M. Darus, Some subordination results on q-analogue of Ruscheweyh differential operator, Abstract and Applied Analysis, vol. 2014,Art. ID 958563, 1-6, 2014.
  • H. Aldweby and M. Darus, Coefficient estimates of classes of q-starlike and q-convex functions, Advanced Studies in Contemporary Math., 26(2016), no. 1, 21-26.
  • H. Aldweby and M. Darus, On Fekete-Szegö problems for certain subclasses defined by q-derivative, J. Function Spaces, Vol. 2017, Art. ID 7156738, 1-5, 2017.
  • F. M. Al-Oboudi and M. M. Haidan, Spirallike functions of complex order, J. Natur. Geom., 19(2000), 53-72.
  • M. K. Aouf, F. M. Al-Oboudi and M. M. Haidan, On some results for λ-spirallike and λ-Robertson functions of complex order, Publ. Instit. Math. Belgrade, 77(2005), no. 91, 93-98.
  • A. Aral, V. Gupta, and R. P.Agarwal, Applications of q-Calculus in Operator Theory, Springer, New York, USA, 2013.
  • T. Bulboacă, Differential Subordinations and Superordinations, Recent Results, House of Scientific Book Publ., Cluj-Napoca, 2005.
  • B. A. Frasin, Family of analytic functions of complex order, Acta Math. Acad. Paedagog. Nyházi. (N. S.), 22(2006), no.2, 179-191.
  • F. H. Jackson, On q-definite integrals, Quarterly J. Pure Appl. Math., 41(1910), 193--203.
  • F. H. Jackson, On q-functions and a certain difference operator, Transactions of the Royal Society of Edinburgh, 46(1908), 253--281.
  • W. C. Ma and D. Minda, A unified treatment of some special classes of univalent functions, in Proceedings of the Conference on Complex Analysis (Tianjin, 1992), 157--169, Internat. Press, Cambridge, MA.
  • S. S. Miller and P. T. Mocanu, Differential Subordinations: Theory and Applications, Series on Monographs and Textbooks in Pure and Applied Mathematics, Vol. 225, Marcel Dekker, New York and Basel, 2000.
  • M. A. Nasr and M. K. Aouf, On convex functions of complex order, Mansoura Bull. Sci., 8(1982), 565--582.
  • M. A. Nasr and M. K. Aouf, Starlike function of complex order, J. Natur. Sci. Math., 25(1985), 1--12.V. Ravichandran, Yasar Polatoglu, Metin Bolcal and Arsu Sen, Certain subclasses of starlike and convex functions of complex order, Hacettepe J. Math. Stat., 34(2005), 9-15.
  • V. Ravichandran, Y. Polatoglu, M. Bolcal and A. Sen: Certain subclasses of starlike and convex functions of complex order. Hacettepe J. Math. Stat. 34 (2005), 9-15.
  • St. Ruscheweyh, New criteria for univalent functions, Proc. Amer. Math. Soc., 49(1975), 109--115.
  • M. S. Robertson, On the theory of univalent functions, Ann. Math., 37(1936), 374- 408.
  • T. M. Seoudy and M. K. Aouf, Coefficient estimates of new classes of q-starlike and q-convex functions of complex order, J. Math. Inequal., 10 (2016), 135-145.
  • P. Wiatrowski, On the coefficients of some family of holomorphic functions, Zeszyty Nauk. Uniw. Łódz, Nauk. Mat.-Przyr., 39(1970), 75--85.
Toplam 19 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Tamer Seoudy 0000-0001-6427-6960

Mohamed Kamal Aouf

Proje Numarası 0
Yayımlanma Tarihi 1 Mart 2020
Yayımlandığı Sayı Yıl 2020

Kaynak Göster

APA Seoudy, T., & Aouf, M. K. (2020). Fekete-Szegö Problem for Certain Subclass of Analytic Functions with Complex Order Defined by q-Analogue of Ruscheweyh Operator. Constructive Mathematical Analysis, 3(1), 36-44. https://doi.org/10.33205/cma.648478
AMA Seoudy T, Aouf MK. Fekete-Szegö Problem for Certain Subclass of Analytic Functions with Complex Order Defined by q-Analogue of Ruscheweyh Operator. CMA. Mart 2020;3(1):36-44. doi:10.33205/cma.648478
Chicago Seoudy, Tamer, ve Mohamed Kamal Aouf. “Fekete-Szegö Problem for Certain Subclass of Analytic Functions With Complex Order Defined by Q-Analogue of Ruscheweyh Operator”. Constructive Mathematical Analysis 3, sy. 1 (Mart 2020): 36-44. https://doi.org/10.33205/cma.648478.
EndNote Seoudy T, Aouf MK (01 Mart 2020) Fekete-Szegö Problem for Certain Subclass of Analytic Functions with Complex Order Defined by q-Analogue of Ruscheweyh Operator. Constructive Mathematical Analysis 3 1 36–44.
IEEE T. Seoudy ve M. K. Aouf, “Fekete-Szegö Problem for Certain Subclass of Analytic Functions with Complex Order Defined by q-Analogue of Ruscheweyh Operator”, CMA, c. 3, sy. 1, ss. 36–44, 2020, doi: 10.33205/cma.648478.
ISNAD Seoudy, Tamer - Aouf, Mohamed Kamal. “Fekete-Szegö Problem for Certain Subclass of Analytic Functions With Complex Order Defined by Q-Analogue of Ruscheweyh Operator”. Constructive Mathematical Analysis 3/1 (Mart 2020), 36-44. https://doi.org/10.33205/cma.648478.
JAMA Seoudy T, Aouf MK. Fekete-Szegö Problem for Certain Subclass of Analytic Functions with Complex Order Defined by q-Analogue of Ruscheweyh Operator. CMA. 2020;3:36–44.
MLA Seoudy, Tamer ve Mohamed Kamal Aouf. “Fekete-Szegö Problem for Certain Subclass of Analytic Functions With Complex Order Defined by Q-Analogue of Ruscheweyh Operator”. Constructive Mathematical Analysis, c. 3, sy. 1, 2020, ss. 36-44, doi:10.33205/cma.648478.
Vancouver Seoudy T, Aouf MK. Fekete-Szegö Problem for Certain Subclass of Analytic Functions with Complex Order Defined by q-Analogue of Ruscheweyh Operator. CMA. 2020;3(1):36-44.

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