References
- C. Abirami, N. Magesh and J. Yamini, Initial bounds for certain classes of bi-univalent functions defined by Horadam polynomials, Abstr. Appl. Anal. 2020 (2020), Article ID 7391058, 1–8.
- A. G. Al-Amoush, Coefficient estimates for certain subclass of bi functions associated with the Horadam polynomials, arXiv:1812.10589v1, (2018), 1–7.
- A. G. Al-Amoush, Certain subclasses of bi-univalent functions involving the Poisson distribution associated with Horadam polynomials, Malaya J. Mat. 7 (2019), 618–624.
- A. G. Al-Amoush, Coefficient estimates for a new subclasses of λ-pseudo biunivalent functions with respect to symmetrical points associated with the Horadam polynomials, Turkish J. Math. 43 (2019), 2865–2875.
- Ş. Altınkaya and S. Yalçin, Poisson distribution series for certain subclasses of starlike functions with negative coefficients, Annals of Oradea University Mathematics Fascicola 24(2) (2017), 5–8.
- Ş. Altınkaya and S. Yalçin, On the Chebyshev polynomial coefficient problem of some subclasses of bi-univalent functions, Gulf J. Math. 5 (2017), 34–40.
- V.D.Breaz, A.Catas, L.I.Cotîrlă, On the Upper Bound of the Third Hankel Determinant for Certain Class of Analytic Functions Related with Exponential Function, An. St. Univ. Ovidius Constanta, No. 1(2022).
- S. Bulut, Coefficient estimates for general subclasses of m-fold symmetric analytic bi-univalent functions, Turkish J. Math. 40 (2016), 1386–1397.
- S. Bulut and A. K. Wanas, Coefficient estimates for families of biunivalent functions defined by Ruscheweyh derivative operator, Math. Moravica 25(1) (2021), 71–80.
- A. Catas, On the Fekete-Szeg˝o problem for certain classes of meromorphic functions using p,q-derivative operator and a p,qwright type hypergeometric function, Symmetry 2021, 13(11), 2143; https://doi.org/10.3390/sym13112143.
- P. L. Duren, Univalent Functions, Grundlehren der Mathematischen Wissenschaften, Band 259, Springer-Verlag, New York, Berlin, Heidelberg and Tokyo, 1983.
- R. M. El-Ashwah and D. K. Thomas, Some subclasses of close-to-convex functions, J. Ramanujan Math. Soc. 2 (1987), 8.
- S. M. El-Deeb, T. Bulboaca and J. Dziok, Pascal distribution series connected with certain subclasses of univalent functions, Kyungpook Math. J. 59(2) (2019), 301–314.
- M. Fekete and G. Szegő, Eine bemerkung uber ungerade schlichte funk-tionen, J. London Math. Soc. 2 (1933), 85–89.
- H.Ö. Güney, G. Murugusundaramoorthy and J. Sokó l, Subclasses of biunivalent functions related to shell-like curves connected with Fibonacci numbers, Acta Univ. Sapient. Math. 10 (2018), 70–84.
- A. F. Horadam, Jacobsthal representation polynomials, Fibonacci Quart. 35 (1997), 137–148.
- A. F. Horadam and J. M. Mahon, Pell and Pell-Lucas polynomials, Fibonacci Quart. 23 (1985), 7–20.
- T. Hörçum and E. G. Koçer, On some properties of Horadam polynomials, Internat. Math. Forum. 4 (2009), 1243–1252.
- T. Koshy, Fibonacci and Lucas Numbers with Applications, A Wiley Interscience Publication, John Wiley and Sons, New York, Chichester, Brisbane and Toronto, 2001.
- A. Lupas, A guide of Fibonacci and Lucas polynomials, Octagon Math. Mag. 7 (1999), 2–12.
- 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 Incorporated, New York and Basel, 2000.
- W. Nazeer, Q. Mehmood, S. M. Kang and A. U. Haq, An application of Binomial distribution series on certain analytic functions, J. Comput. Anal. Appl. 26 (2019), 11–17.
- A. O. Páll-Szabó, G.I. Oros, Coefficient Related Studies for New Classes of Bi-Univalent Functions, Mathematics 8(2020), 1110;
- S. Porwal and M. Kumar, A unified study on starlike and convex functions associated with Poisson distribution series, Afr. Mat. 27 (2016), 10–21.
- T. G. Shaba and A. K. Wanas, Coefficient bounds for a new family of bi-univalent functions associated with (U,V)-Lucas polynomials, Int. J. Nonlinear Anal. Appl. 13(1) (2022), 615–626.
- H. M. Srivastava, Ş. Altınkaya and S. Yalçin, Certain subclasses of biunivalent functions associated with the Horadam polynomials, Iran. J. Sci. Technol. Trans. A: Sci. 43 (2019), 1873–1879.
- H. M. Srivastava, S. S. Eker, S. G. Hamidi and J. M. Jahangiri, Faber polynomial coefficient estimates for bi-univalent functions defined by the Tremblay fractional derivative operator, Bull. Iran. Math. Soc. 44 (2018), 149–157.
- H. M. Srivastava, S. Gaboury and F. Ghanim, Coefficient estimates for a general subclass of analytic and bi-univalent functions of the Ma-Minda type, Rev. Real Acad. Cienc. Exactas Fís. Natur. Ser. A Mat. (RACSAM). 112 (2018), 1157–1168.
- H. M. Srivastava, S. Hussain, A. Raziq and M. Raza, The Fekete-Szeg˝o functional for a subclass of analytic functions associated with quasi-subordination, Carpathian J. Math. 34 (2018), 103–113.
- H. M. Srivastava, S. Khan, Q. Z. Ahmad, N. Khan and 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, Studia Univ. Babe¸s-Bolyai Math. 63 (2018), 419–436.
- H. M. Srivastava, A. K. Mishra and P. Gochhayat, Certain subclasses of analytic and bi-univalent functions, Appl. Math. Lett. 23 (2010), 1188–1192.
- H. M. Srivastava, A. Motamednezhad and E. A. Adegani, Faber polynomial coefficient estimates for bi-univalent functions defined by using differential subordination and a certain fractional derivative operator, Mathematics 8 (2020), Article ID 172, 1–12.
- H. M. Srivastava, A. Motamednezhad and S. Salehian, Coefficients of a comprehensive subclass of meromorphic bi-univalent functions associated with the Faber polynomial expansion, Axioms 10 (2021), Article ID 27, 1–13.
- H. M. Srivastava, N. Raza, E. S. A. AbuJarad, G. Srivastava and M. H. AbuJarad, Fekete-Szeg˝o inequality for classes of (p, q)-starlike and (p, q)-convex functions, Rev. Real Acad. Cienc. Exactas Fís. Natur. Ser. A Mat. (RACSAM) 113 (2019), 3563–3584.
- H. M. Srivastava, F. M. Sakar and H.Ö. Güney, Some general coefficient estimates for a new class of analytic and bi-univalent functions defined by a linear combination, Filomat 32 (2018), 1313–1322.
- H. M. Srivastava, A. K. Wanas and H.Ö. Güney, New families of biunivalent functions associated with the Bazilevič functions and the λ-Pseudo-starlike functions, Iran.J.Sci.Technol.Trans.A: Sci. 45 (2021), 1799–1804.
- H. M. Srivastava, A. K. Wanas and G. Murugusundaramoorthy, Certain family of bi-univalent functions associated with Pascal distribution series based on Horadam polynomials, Surveys Math. Appl. 16 (2021), 193–205.
- H. M. Srivastava, A. K. Wanas and R. Srivastava, Applications of the q-Srivastava-Attiya operator involving a certain family of bi-univalent functions associated with the Horadam polynomials, Symmetry 13 (2021), Art. ID 1230, 1–14.
- S. R. Swamy, P. K. Mamatha, N. Magesh and J. Yamini, Certain subclasses of bi-univalent funtions defined by Sălăgean operator associated with the (p, q)- Lucas polynomials, Advances in Mathematics, Scientific Journal 9(8) (2020), 6017–6025.
- S. R. Swamy, A. K. Wanas and Y. Sailaja, Some special families of holomorphic and Sălăgean type bi-univalent functions associated with (m, n)-Lucas polynomials, Commun. Math. Appl. 11 (2020), 563–574.
- A. K. Wanas, Applications of (M,N)-Lucas polynomials for holomorphic and bi-univalent functions, Filomat 34 (2020), 3361–3368.
- A. K. Wanas, Coefficient estimates for Bazilevič functions of bi-Prestarlike functions, Miskolc Mathematical Notes 21(2) (2020), 1031–1040.
- A. K. Wanas, Horadam polynomials for a new family of λ-pseudo biunivalent functions associated with Sakaguchi type functions, Afr. Mat. 32 (2021), 879–889.
- A. K. Wanas and N. A. Al-Ziadi, Applications of Beta negative binomial distribution series on holomorphic functions, Earthline J. Math. Sci. 6(2) (2021), 271–292.
- A. K. Wanas and J. Choi, Certain new families for bi-univalent functions defined by a known operator, East Asian Math. J. 37(3) (2021), 319–331.
- A. K. Wanas and L.-I. Cotîrlˇa, Initial coefficient estimates and Fekete–Szeg˝o inequalities for new families of bi-univalent functions governed by (p − q)-Wanas operator, Symmetry, 13, (2021), Art. ID 2118, 1-17.
- A. K. Wanas and J. A. Khuttar, Applications of Borel distribution series on analytic functions, Earthline J. Math. Sci. 4 (2020), 71–82.
- A. K. Wanas and A. A. Lupas, Applications of Horadam polynomials on Bazilevič bi-univalent function satisfying subordinate conditions, J. Phys.: Conf. Ser. 1294 (2019), 1–6.