SavedAdd your journal

Journals / Mathematical Sciences and Applications E-Notes / 2020 / Cilt: 8 - Sayı: 1

Some Applications of the (p, q)-Lucas Polynomials to the bi-univalent Function Class Σ

Şahsene ALTINKAYA
Sibel YALÇIN
Pages
134–141
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this present investigation, based on the (p, q)-Lucas polynomials, we want to build a bridge between the Theory of Geometric Functions and that of Special Functions, which are usually considered as very different fields.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this present investigation, based on the (p, q)-Lucas polynomials, we want to build a bridge between the Theory of Geometric Functions and that of Special Functions, which are usually considered as very different fields.
📊
Key Findings & Data:In this present investigation, based on the (p, q)-Lucas polynomials, we want to build a bridge between the Theory of Geometric Functions and that of Special Functions, which are usually considered as very different fields.
💡
Conclusion & Impact:In this present investigation, based on the (p, q)-Lucas polynomials, we want to build a bridge between the Theory of Geometric Functions and that of Special Functions, which are usually considered as very different fields.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Özet

In this present investigation, based on the (p, q)-Lucas polynomials, we want to build a bridge between the Theory of Geometric Functions and that of Special Functions, which are usually considered as very different fields.

🔖

Cite This Article

ALTINKAYA, Ş., YALÇIN, S. (2020). Some Applications of the (p, q)-Lucas Polynomials to the bi-univalent Function Class Σ. Mathematical Sciences and Applications E-Notes, Cilt: 8 - Sayı: 1, 134–141. https://ajindex.com/articles/283454

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (17)

  1. Altınkaya, ¸S., Yalçın, S.: Faber polynomial coefficient bounds for a subclass of bi-univalent functions. C.R. Acad. Sci. Paris, Ser. I 353 (12), 1075-1080 (2015)
  2. Altınkaya, ¸S., Yalçın, S.: Fekete-Szegö inequalities for certain classes of bi-univalent functions. Internat. Scholar. Res. Notices 2014, 1-6 (2014). Article ID 327962
  3. Brannan, D. A., Taha, T. S.: On some classes of bi-univalent functions. Stud. Univ. Babe¸s-Bolyai Math. 31, 70-77 (1986)
  4. Duren, P. L.: Univalent Functions. Grundlehren der Mathematischen Wissenschaften, Bd. 259, Springer-Verlag, Berlin, Heidelberg, New York and Tokyo, (1983)
  5. Fekete, M., Szegö, G.: Eine Bemerkung Über Ungerade Schlichte Funktionen. J. London Math. Soc. [s1-8(2)], 85-89 (1933)
  6. Lewin, M.: On a coefficient problem for bi-univalent functions. Proc. Amer. Math. Soc. 18, 63-68 (1967)
  7. Lee, G. Y., A¸scı, M.: Some properties of the (p, q)-Fibonacci and (p, q)-Lucas polynomials. J. Appl. Math. 2012, 1-18 (2012). Article ID 264842
  8. London, R. R., Thomas, D. K.: The derivative of Bazilevic˘ functions. Proc. Amer. Math. Soc. 104, 235-238 (1988)
  9. Lupas, A.: A guide of Fibonacci and Lucas polynomials. Octagon Mathematics Magazine 7, 2-12 (1999)
  10. MacGregor, T. H.: Functions whose derivative has a positive real part. Trans. Amer. Math. Soc. 104, 532-537 (1962)
  11. Netanyahu, E.: The minimal distance of the image boundary from the origin and the second coefficient of a univalent function in |z| [12] Özkoç, A., Porsuk, A.: A note for the (p, q)-Fibonacci and Lucas quaternion polynomials. Konuralp J. Math. 5 (2), 36-46 (2017)
  12. Filipponi, P., Horadam, A. F.: Derivative sequences of Fibonacci and Lucas polynomials. In: Applications of Fibonacci Numbers, Springer, Dordrecht, (1991)
  13. Srivastava, H. M., Murugusundaramoorthy, G., Magesh, N.: Certain subclasses of bi-univalent functions associated with the Hohlov operator. Appl. Math. Lett. 1, 67-73 (2013)
  14. Singh, R.: On Bazilevic˘ functions. Proc. Amer. Math. Soc. 38, 261-271 (1973)
  15. Srivastava, H. M., Mishra, A., Gochhayat, P.: Certain subclasses of analytic and bi-univalent functions. Appl. Math. Lett. 23, 1188-1192 (2010)
  16. Srivastava, H. M., Mishra, A. K., Das, M. K.: The Fekete-Szegö problem for a subclass of close-to-convex functions. Complex Variables Theory Appl. 44 (2), 145-163 (2001)
  17. Vellucci, P., Bersani, A.M.: The class of Lucas-Lehmer polynomials. Rendiconti di Matematica 37 (1-2), 43-62 (2016). [19]