A new approach to the bi-univalent analytic functions connected with q-analogue of Noor integral operator

Arzu AKGÜL (Kocaeli Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, Kocaeli, Türkiye)
Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
1 0
Yıl: 2021 Cilt: 70 Sayı: 2 Sayfa Aralığı: 940 - 949 Metin Dili: İngilizce DOI: 10.31801/cfsuasmas.846485 İndeks Tarihi: 29-07-2022

A new approach to the bi-univalent analytic functions connected with q-analogue of Noor integral operator

Öz:
Recently, q-analogue of Noor integral operator and other special operators became importance in the field of Geometric Function Theory. In this study, by connecting this operators and the principle of subordination we introduced an interesting class of bi-univalent functions and obtained coefficient estimates for this new class.
Anahtar Kelime: subordination Noor integral operator coefficient estimates Bi-univalent analytic functions

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • [1]Akgül, A., Sakar, F. M., A certain subclass of bi-univalent analytic functions introduced by means of the q-analogue of Noor integral operator and Horadam polynomials, Turkish Journalof Mathematics, 43(5) (2019), 2275-2286. https://doi.org/10.3906/mat-1905-17.
  • [2]Aldweby, H., Darus, M., A subclass of harmonic univalent functions associated with q-analogue of Dziok-Srivastava operator, ISRN Mathematical Analysis, 2013 (2013), Article ID 382312, 6 pages. https://doi.org/10.1155/2013/382312
  • [3]Altınkaya, Ş., Inclusion properties of Lucas polynomials for bi-univalent functions introduced through the q-analogue of Noor integral operator, Turkish Journal of Mathematics. 43(2) (2019), 620-629. doi:10.3906/mat-1805-86, https://doi.10.3906/mat-1805-86
  • [4]Arif, M., Ul Haq M, Liu J-L., Subfamily of univalent functions associated with q-analogue of Noor integral operator, J Funct Spaces 2018 (2018), 1-5. https://doi.org/10.1155/2018/3818915
  • [5]Bulut, S.,Coefficient estimates for a class of analytic and bi-univalent functions, Novi Sad J. Math. 43(2) (2013), 59-65.
  • [6]Duren, P. L., Univalent Functions, vol. 259 of Grundlehren der Mathematischen Wissenschaften, Springer, New York, NY, USA, 1983.
  • [7]Brannan, D. A., Taha, T. S., On some classes of bi-univalent functions, in Mathematical Analysis and Its Applications, S. M. Mazhar, A. Hamoui, and N. S. Faour, Eds., vol. 3 of KFAS Proceedings Series, pp. 53-60, Pergamon Press, Elsevier Science, Oxford, UK, 1988.
  • [8]Brannan, D. A., Taha, T. S., On some classes of bi-univalent functions, Studia Universitatis Babeş-Bolyai Mathematica, 31(2) (1986), 70-77.
  • [9]Çağlar M., Orhan, H., Yağmur, N., Coefficient bounds for new subclasses of bi-univalent functions, Filomat, 27(7) (2013), 1165-1171. DOI 10.2298/FIL1307165C
  • [10]Frasin, B. A., Aouf, M. K., New subclasses of bi-univalent functions, Applied Mathematics Letters, 24(9) (2011), 1569-1573. doi:10.1016/j.aml.2011.03.048, http://dx.doi.org/10.1016/j.joems.2012.08.020.
  • [11]Goyal, S. P., Goswami, P., Estimate for initial Maclaurin coefficients of bi-univalent functions for a class defined by fractional derivatives, Journal of the Egyptian Mathematical Society, 20(3) (2012), 179-182. http://dx.doi.org/10.1016/j.joems.2012.08.020
  • [12]Hayami, T., Owa, S., Coefficient bounds for bi-univalent functions, Pan-American Mathematical Journal, 22(4) (2012), 15-26.
  • [13]Jackson, F.H., On q-functions and a certain difference operator, Trans. R. Soc. Edinb., 46 (1908), 253-281.
  • [14]Orhan, H., Magesh, N., Balaji, V. K., Initial coefficient bounds for a general class of biunivalent functions, Filomat, 29(6) (2015), 1259-126. DOI 10.2298/FIL1506259O
  • [15]Noor K. I., On new classes of integral operators, J Natur Geom, 16 (1999), 71-80.
  • [16]Noor, K. I., Altinkaya, S.., Yalcin, S., Coefficient inequalities of analytic functions equipped with conic domains involving q-analogue of Noor integral operator, Tbilisi Mathematical Journal, 14(1) (2021), 1-14. DOI: 10.32513/tmj/1932200811
  • [17]Goyal, S. P., Goswami, P., Estimate for initial Maclaurin coefficients of bi-univalent functions for a class defined by fractional derivatives, Journal of the Egyptian Mathematical Society, 20(3) (2012). http://dx.doi.org/10.1016/j.joems.2012.08.020
  • [18]Rogosinski, W., On the coefficients of subordinate functions, Proceedings of the London Mathematical Society, 48(2) (1943), 48-82.
  • [19]Salagean G. S., Subclasses of univalent functions, in Complex Analysis-Fifth Romanian-Finnish Seminar, Part 1 (Bucharest, 1981), vol. 1013 of Lecture Notes in Mathematics, 362-372, Springer, Berlin, Germany, 1983. https://doi.org/10.1007/BFb0066543
  • [20]Srivastava, H. M., Mishra A. K., Gochhayat P., Certain subclasses of analytic and bi-univalent functions, Applied Mathematics Letters, 23(10) (2010), 1188-1192. doi:10.1016/j.aml.2010.05.009
  • [21]Xu, Q. H., Gui, Y. C., Srivastava, H. M., Coefficient estimates for a certain subclass of analytic and bi-univalent functions, Applied Mathematics Letters, 25(6) (2012), 990-994. doi:10.1016/j.aml.2011.11.013
  • [22]Xu, Q. H., Xiao, H. G., Srivastava, H. M., A certain general subclass of analytic and biunivalent functions and associated coefficient estimate problems, Applied Mathematics and Computation, 218(23) (2012), 11461-11465. http://dx.doi.org/10.1016/j.amc.2012.05.034
APA AKGÜL a (2021). A new approach to the bi-univalent analytic functions connected with q-analogue of Noor integral operator. , 940 - 949. 10.31801/cfsuasmas.846485
Chicago AKGÜL arzu A new approach to the bi-univalent analytic functions connected with q-analogue of Noor integral operator. (2021): 940 - 949. 10.31801/cfsuasmas.846485
MLA AKGÜL arzu A new approach to the bi-univalent analytic functions connected with q-analogue of Noor integral operator. , 2021, ss.940 - 949. 10.31801/cfsuasmas.846485
AMA AKGÜL a A new approach to the bi-univalent analytic functions connected with q-analogue of Noor integral operator. . 2021; 940 - 949. 10.31801/cfsuasmas.846485
Vancouver AKGÜL a A new approach to the bi-univalent analytic functions connected with q-analogue of Noor integral operator. . 2021; 940 - 949. 10.31801/cfsuasmas.846485
IEEE AKGÜL a "A new approach to the bi-univalent analytic functions connected with q-analogue of Noor integral operator." , ss.940 - 949, 2021. 10.31801/cfsuasmas.846485
ISNAD AKGÜL, arzu. "A new approach to the bi-univalent analytic functions connected with q-analogue of Noor integral operator". (2021), 940-949. https://doi.org/10.31801/cfsuasmas.846485
APA AKGÜL a (2021). A new approach to the bi-univalent analytic functions connected with q-analogue of Noor integral operator. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 70(2), 940 - 949. 10.31801/cfsuasmas.846485
Chicago AKGÜL arzu A new approach to the bi-univalent analytic functions connected with q-analogue of Noor integral operator. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 70, no.2 (2021): 940 - 949. 10.31801/cfsuasmas.846485
MLA AKGÜL arzu A new approach to the bi-univalent analytic functions connected with q-analogue of Noor integral operator. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.70, no.2, 2021, ss.940 - 949. 10.31801/cfsuasmas.846485
AMA AKGÜL a A new approach to the bi-univalent analytic functions connected with q-analogue of Noor integral operator. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2021; 70(2): 940 - 949. 10.31801/cfsuasmas.846485
Vancouver AKGÜL a A new approach to the bi-univalent analytic functions connected with q-analogue of Noor integral operator. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2021; 70(2): 940 - 949. 10.31801/cfsuasmas.846485
IEEE AKGÜL a "A new approach to the bi-univalent analytic functions connected with q-analogue of Noor integral operator." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 70, ss.940 - 949, 2021. 10.31801/cfsuasmas.846485
ISNAD AKGÜL, arzu. "A new approach to the bi-univalent analytic functions connected with q-analogue of Noor integral operator". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 70/2 (2021), 940-949. https://doi.org/10.31801/cfsuasmas.846485
Sayfa Oluşturulma Tarihi
23-04-2024 21:56

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