Coefficients estimates of a new class of analytic bi-univalent functions with bounded boundary rotation

Pranay Goswami, (School of Liberal Studies, Dr B.R. Ambedkar University Delhi, Delhi-110006, India)
Serap BULUT, (Kocaeli Üniversitesi, Havacılık ve Uzay Bilimleri Fakültesi, Arslanbey Yerleşkesi, 41285, İzmit, Kocaeli, Türkiye)
Neetu SHEKHAWAT (Department of Applied Mathematics, AMITY School of Applied Sciences, AMITY University Rajasthan-303022, India)
Hacettepe Journal of Mathematics and Statistics
1 0
Yıl: 2022 Cilt: 51 Sayı: 5 Sayfa Aralığı: 1271 - 1279 Metin Dili: İngilizce DOI: 10.15672/hujms.822815 İndeks Tarihi: 11-04-2023

Coefficients estimates of a new class of analytic bi-univalent functions with bounded boundary rotation

Öz:
In this paper, we introduce a new subclass of analytic bi-univalent functions defined by using q-derivative operator. Further, we obtain both some initial and general coefficient bounds, and also Fekete-Szegö inequalities for bi-univalent functions that belong to this class. Our results extend and improve some known results as special cases.
Anahtar Kelime: univalent functions bi-univalent functions bounded boundary rotations coefficient estimates fekete-Szegö problem q-calculus

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • [1] H. Airault, Symmetric sums associated to the factorization of Grunsky coefficients, in Conference, Groups and Symmetries, Montreal, Canada, April 2007.
  • [2] H. Airault, Remarks on Faber polynomials, Int. Math. Forum 3(9-12), 449–456, 2008.
  • [3] H. Airault and A. Bouali, Differential calculus on the Faber polynomials, Bull. Sci. Math. 20(3), 179–222, 2006.
  • [4] R.M. Ali, S.K. Lee, V. Ravichandran and S. Supramaniam, Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions, Appl. Math. Lett. 25(3), 344–351, 2012.
  • [5] A. Aljouiee and P. Goswami, Coefficients estimates of the class of bi-univalent func- tions, J. Function Spaces 2016, Article ID 3454763, 4 pages, 2016.
  • [6] D.A. Brannan and T.S. Taha, On some classes of bi-univalent functions, Studia Univ. Babeş-Bolyai Math. 31(2), 70–77, 1986.
  • [7] P.L. Duren, Univalent Functions, Grundlehren der Mathematischen Wissenschaften, 259, Springer, New York, 1983.
  • [8] G. Faber, Über polynomische Entwickelungen, Math. Ann. 57 (3), 389–408, 1903.
  • [9] B.A. Frasin and M.K. Aouf, New subclasses of bi-univalent functions, Appl. Math. Lett. 24(9), 1569–1573, 2011.
  • [10] S.P. Goyal and P. Goswami, Estimate for initial Maclaurin coefficients of bi-univalent functions for a class defined by fractional derivatives, J. Egyptian Math. Soc. 20(3), 179–182, 2012.
  • [11] S.G. Hamidi, S.A. Halim and J.M. Jahangiri, Coefficient of bi-univalent functions with positive real parts, Bull. Malaysian Math. Sci. Soc. 37(3), 633–640, 2014.
  • [12] F.H. Jackson, On q-definite integrals, Quart. J. Pure Appl. Math. 41, 193–203, 1910.
  • [13] F.H. Jackson, q-difference equations, Amer. J. Math. 32, 305–314, 1910.
  • [14] M. Lewin, On a coefficient problem for bi-univalent functions, Proc. Amer. Math. Soc. 18, 63–68, 1967.
  • [15] K. Padmanabhan and R. Parvatham, Properties of a class of functions with bounded boundary rotation, Ann. Polon. Math. 31, 311–323, 1975.
  • [16] B. Pinchuk, Functions with bounded boundary rotation, Israel J. Math. 10, 7–16, 1971.
  • [17] M. Schiffer, Faber polynomials in the theory of univalent functions, Bull. Amer. Math. Soc. 54, 503–517, 1948.
  • [18] P.G. Todorov, On the Faber polynomials of the univalent functions of class Σ, J. Math. Anal. Appl. 162(1), 268-267, 1991.
  • [19] H.M. Srivastava, A.K. Mishra and P. Gochhayat, Certain subclasses of analytic and bi-univalent functions, Appl. Math. Lett. 23(10), 1188–1192, 2010.
  • [20] P. Zaprawa, Estimates of initial coefficients for bi-univalent functions, Abstr. Appl. Anal. Art. ID 357480, 6 pp. 2014.
  • [21] P. Zaprawa, On the Fekete-Szegö problem for classes of bi-univalent functions, Bull. Belg. Math. Soc. Simon Stevin 21(1), 169–178, 2014.
APA Goswami P, BULUT S, Shekhawat N (2022). Coefficients estimates of a new class of analytic bi-univalent functions with bounded boundary rotation. , 1271 - 1279. 10.15672/hujms.822815
Chicago Goswami Pranay,BULUT Serap,Shekhawat Neetu Coefficients estimates of a new class of analytic bi-univalent functions with bounded boundary rotation. (2022): 1271 - 1279. 10.15672/hujms.822815
MLA Goswami Pranay,BULUT Serap,Shekhawat Neetu Coefficients estimates of a new class of analytic bi-univalent functions with bounded boundary rotation. , 2022, ss.1271 - 1279. 10.15672/hujms.822815
AMA Goswami P,BULUT S,Shekhawat N Coefficients estimates of a new class of analytic bi-univalent functions with bounded boundary rotation. . 2022; 1271 - 1279. 10.15672/hujms.822815
Vancouver Goswami P,BULUT S,Shekhawat N Coefficients estimates of a new class of analytic bi-univalent functions with bounded boundary rotation. . 2022; 1271 - 1279. 10.15672/hujms.822815
IEEE Goswami P,BULUT S,Shekhawat N "Coefficients estimates of a new class of analytic bi-univalent functions with bounded boundary rotation." , ss.1271 - 1279, 2022. 10.15672/hujms.822815
ISNAD Goswami, Pranay vd. "Coefficients estimates of a new class of analytic bi-univalent functions with bounded boundary rotation". (2022), 1271-1279. https://doi.org/10.15672/hujms.822815
APA Goswami P, BULUT S, Shekhawat N (2022). Coefficients estimates of a new class of analytic bi-univalent functions with bounded boundary rotation. Hacettepe Journal of Mathematics and Statistics, 51(5), 1271 - 1279. 10.15672/hujms.822815
Chicago Goswami Pranay,BULUT Serap,Shekhawat Neetu Coefficients estimates of a new class of analytic bi-univalent functions with bounded boundary rotation. Hacettepe Journal of Mathematics and Statistics 51, no.5 (2022): 1271 - 1279. 10.15672/hujms.822815
MLA Goswami Pranay,BULUT Serap,Shekhawat Neetu Coefficients estimates of a new class of analytic bi-univalent functions with bounded boundary rotation. Hacettepe Journal of Mathematics and Statistics, vol.51, no.5, 2022, ss.1271 - 1279. 10.15672/hujms.822815
AMA Goswami P,BULUT S,Shekhawat N Coefficients estimates of a new class of analytic bi-univalent functions with bounded boundary rotation. Hacettepe Journal of Mathematics and Statistics. 2022; 51(5): 1271 - 1279. 10.15672/hujms.822815
Vancouver Goswami P,BULUT S,Shekhawat N Coefficients estimates of a new class of analytic bi-univalent functions with bounded boundary rotation. Hacettepe Journal of Mathematics and Statistics. 2022; 51(5): 1271 - 1279. 10.15672/hujms.822815
IEEE Goswami P,BULUT S,Shekhawat N "Coefficients estimates of a new class of analytic bi-univalent functions with bounded boundary rotation." Hacettepe Journal of Mathematics and Statistics, 51, ss.1271 - 1279, 2022. 10.15672/hujms.822815
ISNAD Goswami, Pranay vd. "Coefficients estimates of a new class of analytic bi-univalent functions with bounded boundary rotation". Hacettepe Journal of Mathematics and Statistics 51/5 (2022), 1271-1279. https://doi.org/10.15672/hujms.822815
Sayfa Oluşturulma Tarihi
24-04-2024 12:33

İLETİŞİM

TÜBİTAK ULAKBİM TR Dizin

Yüzüncüyıl, İşçi Blokları Mahallesi

Muhsin Yazıcıoğlu Caddesi No:51/C

06530 Çankaya / ANKARA +90 (312) 298 92 00

trdizin@tubitak.gov.tr

TÜBİTAK ULAKBİM Ulusal Akademik Ağ ve Bilgi Merkezi Cahit Arf Bilgi Merkezi © Tüm Hakları Saklıdır. Gizlilik Politikası Kullanım Şartları