(p, q)-Lucas polynomials and their applications to bi-univalent functions

Abstract In the present paper, by using the L p,q,n (x) functions, our methodology intertwine to yield the Theory of Geometric Functions and that of Special Functions, which are usually considered as very different fields. Thus, we aim at introducing a new class of bi-univalent functions defined th...

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Autores principales:	Altınkaya,Şahsene, Yalçın,Sibel
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2019
Materias:	(p, q)-Lucas polynomials Coefficient bounds Bi-univalent functions
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000501093
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spelling	oai:scielo:S0716-091720190005010932020-01-07(p, q)-Lucas polynomials and their applications to bi-univalent functionsAltınkaya,ŞahseneYalçın,Sibel (p, q)-Lucas polynomials Coefficient bounds Bi-univalent functions Abstract In the present paper, by using the L p,q,n (x) functions, our methodology intertwine to yield the Theory of Geometric Functions and that of Special Functions, which are usually considered as very different fields. Thus, we aim at introducing a new class of bi-univalent functions defined through the (p, q)-Lucas polynomials. Furthermore, we derive coefficient inequalities and obtain Fekete-Szegö problem for this new function class.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.38 n.5 20192019-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000501093en10.22199/issn.0717-6279-2019-05-0071
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	(p, q)-Lucas polynomials Coefficient bounds Bi-univalent functions
spellingShingle	(p, q)-Lucas polynomials Coefficient bounds Bi-univalent functions Altınkaya,Şahsene Yalçın,Sibel (p, q)-Lucas polynomials and their applications to bi-univalent functions
description	Abstract In the present paper, by using the L p,q,n (x) functions, our methodology intertwine to yield the Theory of Geometric Functions and that of Special Functions, which are usually considered as very different fields. Thus, we aim at introducing a new class of bi-univalent functions defined through the (p, q)-Lucas polynomials. Furthermore, we derive coefficient inequalities and obtain Fekete-Szegö problem for this new function class.
author	Altınkaya,Şahsene Yalçın,Sibel
author_facet	Altınkaya,Şahsene Yalçın,Sibel
author_sort	Altınkaya,Şahsene
title	(p, q)-Lucas polynomials and their applications to bi-univalent functions
title_short	(p, q)-Lucas polynomials and their applications to bi-univalent functions
title_full	(p, q)-Lucas polynomials and their applications to bi-univalent functions
title_fullStr	(p, q)-Lucas polynomials and their applications to bi-univalent functions
title_full_unstemmed	(p, q)-Lucas polynomials and their applications to bi-univalent functions
title_sort	(p, q)-lucas polynomials and their applications to bi-univalent functions
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2019
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000501093
work_keys_str_mv	AT alt305nkaya350ahsene pqlucaspolynomialsandtheirapplicationstobiunivalentfunctions AT yalc305nsibel pqlucaspolynomialsandtheirapplicationstobiunivalentfunctions
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(p, q)-Lucas polynomials and their applications to bi-univalent functions

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