References
- S. Altınkaya, S. Yalçın, On the Chebyshev polynomial coefficient problem of some subclasses of bi-univalent functions, Gulf J. Math., vol. 5, no. 3, 2017, 34-40, https://doi.org/10.56947/gjom.v5i3.105.
- S. Altınkaya, S. Yalçın, On the (p,q)-Lucas polynomial coefficient bounds of the bi-univalent function class Σ, Bol. Soc. Mat. Mex., vol. 25, no. 3, 2018, 567-575, https://doi.org/10.1007/s40590-018-0212-z.
- C. Abirami, N. Magesh, J. Yamini, Initial bounds for certain classes of biunivalent functions defined by Horadam polynomials, Abstr. Appl. Anal., Art. ID 7391058, 2020, 1-8, https://doi.org/10.1155/2020/7391058.
- I. Al-Shbeil, A. Căta¸s, H. M. Srivastava, N. Aloraini, Coefficient estimates of new families of analytic functions associated with q-Hermite polynomials, Axioms, vol. 12, no. 1, 2023, 52, 1-14, https://doi.org/10.3390/axioms12010052.
- W. Al-Rawashdeh, A family of analytic functions subordinate to Horadam polynomials, Eur. J. Pure Appl. Math., vol. 17, no. 1, 2024, 158-170, https://doi.org/10.29020/nybg.ejpam.v17i1.5022.
- I. E. Bazilevič, On a case of integrability in quadratures of the Loewner-Kufarev equation, Mat. Sb. (N.S.), vol. 37, no. 79, 1955, 471-476.
- D. Brannan, J. Clunie, Aspects of contemporary complex analysis, Academic Press, New York, 1980.
- M. Darus, D. K. Thomas, κ-logarithmically convex functions, Indian J. Pure Appl. Math., 29, 1998, 1049-1059.
- P. L. Duren, Univalent functions, Grundlehren der Mathematischen Wissenschaften, Springer, New York, vol. 259, 1983.
- M. Fekete, G. Szegö, Eine Bemerkungüber ungerade schlichte Funktionen, J. London Math. Soc., vol. 1, no. 2, 1933, 85-89, https://doi.org/10.1112/jlms/s1-8.2.85.
- S. A. Fitri, M. Muslikh, Beta-Bazilevič function, Sahand Commun. Math. Anal., vol. 21, no. 2, 2024, 179-193, https://doi.org/10.22130/scma.2023.2004270.1351.
- S. A. Fitri, D. K. Thomas, Gamma-Bazilevič functions, Mathematics, vol. 8, no. 2, 2020, 175, 1-8, https://doi.org/10.3390/math8020175.
- A. F. Horadam, J. M. Mahon, Pell and Pell–Lucas polynomials, Fibonacci Quart., 23, 1985, 7-20.
- T. Horzum, E. G. Koçer, On some properties of Horadam polynomials, Int. Math. Forum, vol. 4, no. 25, 2009, 1243-1252.
- A. W. Kedzierawski, Some remarks on bi-univalent functions, Ann. Univ. Mariae Curie-Sk lodowska Sect. A, 39, 1985, 77-81.
- F. R. Keough, S. S. Miller, On the coefficients of Bazilevič functions, Proc. Amer. Math. Soc., 30, 1971, 492-496, https://doi.org/10.2307/2037722.
- P. K. Kulshrestha, Coefficients for alpha-convex univalent functions, Bull. Amer. Math. Soc., 80, 1974, 341-342, https://doi.org/10.1090/S0002-9904-1974-13494-4.
- M. Lewin, On a coefficient problem for bi-univalent functions, Proc. Amer. Math. Soc., 18, 1967, 63-68.
- N. Magesh, S. Bulut, Chebyshev polynomial coefficient estimates for a class of analytic bi-univalent functions related to pseudo-starlike functions, Afr. Mat., 29, 2018, 203-209, https://doi.org/10.1007/s13370-017-0535-3.
- S. S. Miller, On the Hardy class of a Bazilevič function and its derivative, Proc. Amer. Math. Soc., 30, 1971, 125-138, https://doi.org/10.2307/2038236.
- S. S. Miller, P. T. Mocanu, M. O. Reade, All α-convex functions are starlike, Rev. Roumaine Math. Pure Appl., 17, 1972, 1395-1397.
- S. S. Miller, P. T. Mocanu, M. O. Reade, All α-convex functions are univalent and starlike, Proc. Amer. Math. Soc., 37, 1973, 553-554, https://doi.org/10.1090/S0002-9939-1973-0313490-3.
- K. I. Noor, Bazilevič functions of type β, Internat. J. Math. Math. Sci., vol. 5, no. 2, 1982, 411-415, https://doi.org/10.1155/S0161171282000416.
- K. I. Noor, S. A. Al-Bany, On Bazilevič functions, Internat. J. Math. Math. Sci., vol. 10, no. 1, 1987, 79-88, https://doi.org/10.1155/S0161171287000103.
- K. I. Noor, S. A. Shah, A. Saliu, On generalized gamma-Bazilevič functions, Asian Euro J Math., vol. 14, no. 6, 2021, 1-8, https://doi.org/10.1142/S1793557121500935.
- S. Owa, M. Obradović, Certain subclasses of Bazilevič functions of type α, Internat. J. Math. Math. Sci., vol. 9, no. 2, 1986, 347-359, https://doi.org/10.1155/S0161171286000431.
- T. Panigrahi, J. Sokól, Generalized Laguerre polynomial bounds for subclass of bi-univalent functions, Jordan J. Math & Stat., vol. 14, no. 1, 2021, 127-140, https://doi.org/10.47013/14.1.7.
- N. L. Sharma, T. Bulboacă, Logarithmic coefficient bounds for the class of Bazilevič functions, Anal. Math. Phys., vol. 14, no. 52, 2024, 1-18, https://doi.org/10.1007/s13324-024-00909-y.
- R. Singh, On Bazilevič functions, Proc. Am. Math. Soc., 38, 1973, 261-271, https://doi.org/10.2307/2039275.
- H. M. Srivastava, S¸. Altınkaya, S. Yalçın, Certain subclasses of bi-univalent functions associated with the Horadam polynomials, Iran. J. Sci. Technol. Trans. A Sci., vol. 43, no. 4, 2019, 1873-1879, https://doi.org/10.1007/s40995-018-0647-0.
- H. M. Srivastava, S. Gaboury, F. Ghanim, Coefficient estimates for some general subclasses of analytic and bi-univalent functions, Afr. Mat., vol. 28, no. 5-6, 2017, 693-706, https://doi.org/10.1007/s13370-016-0478-0.
- H. M. Srivastava, S. Khan, Q. Z. Ahmad, N. Khan, S. Hussain, The Faber polynomial expansion method and its application to the general coefficient problem for some subclasses of bi-univalent functions associated with a certain q-integral operator, Stud. Univ. Babe¸s-Bolyai Math., vol. 63, no. 4, 2018, 419-436, https://doi.org/10.24193/subbmath.2018.4.01.
- H. M. Srivastava, A. K. Mishra, P. Gochhayat, Certain subclasses of analytic and bi-univalent functions, Appl. Math. Ltt., vol. 23, no. 10, 2010, 1188-1192, https://doi.org/10.1016/j.aml.2010.05.009.
- H. M. Srivastava, M. F. Sakar, G. H.Özlem, Some general coefficient estimates for a new class of analytic and bi-univalent functions defined by a linear combination, Filomat, vol. 32, no. 4, 2018, 1313-1322, https://doi.org/10.2298/fil1804313s.
- H. M. Srivastava, A. K. Wanas, H.Ö. Güney, New families of bi-univalent functions associated with the Bazilevič functions and the λ-pseudo-starlike functions, Iran. J. Sci. Technol. Trans. A Sci., vol. 45, no. 5, 2021, 1799-1804, https://doi.org/10.1007/s40995-021-01176-3.
- D. K. Thomas, On Bazilevič functions, Trans. Amer. Math. Soc., 132, 1968, 353-361, https://doi.org/10.2307/1994845.
- A. K. Wanas, A. Alb Lupas, Applications of Horadam polynomials on Bazilevič bi-univalent function satisfying subordinate conditions, J. Phys. Conf. Series, vol. 1294, no. 3, 2019, 1-6, https://doi.org/10.1088/1742-6596/1294/3/032003.
- A. K. Wanas, A. Alb Lupas, Applications of Laguerre polynomials on a new family of bi-prestarlike functions, Symmetry, vol. 14, no. 4, 2022, 1-10, https://doi.org/10.3390/sym14040645.