An extension of typically-real functions and associated orthogonal polynomials
Iwona Naraniecka; Jan Szynal; Anna Tatarczak
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2011)
- Volume: 65, Issue: 2
- ISSN: 0365-1029
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topIwona Naraniecka, Jan Szynal, and Anna Tatarczak. "An extension of typically-real functions and associated orthogonal polynomials." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 65.2 (2011): null. <http://eudml.org/doc/289724>.
@article{IwonaNaraniecka2011,
abstract = {Two-parameters extension of the family of typically-real functions is studied. The definition is obtained by the Stjeltjes integral formula. The kernel function in this definition serves as a generating function for some family of orthogonal polynomials generalizing Chebyshev polynomials of the second kind. The results of this paper concern the exact region of local univalence, bounds for the radius of univalence, the coefficient problems within the considered family as well as the basic properties of obtained orthogonal polynomials.},
author = {Iwona Naraniecka, Jan Szynal, Anna Tatarczak},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {Typically-real functions; univalent functions; local univalence; univalence; starlikeness; Chebyshev polynomials; orthogonal polynomials},
language = {eng},
number = {2},
pages = {null},
title = {An extension of typically-real functions and associated orthogonal polynomials},
url = {http://eudml.org/doc/289724},
volume = {65},
year = {2011},
}
TY - JOUR
AU - Iwona Naraniecka
AU - Jan Szynal
AU - Anna Tatarczak
TI - An extension of typically-real functions and associated orthogonal polynomials
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2011
VL - 65
IS - 2
SP - null
AB - Two-parameters extension of the family of typically-real functions is studied. The definition is obtained by the Stjeltjes integral formula. The kernel function in this definition serves as a generating function for some family of orthogonal polynomials generalizing Chebyshev polynomials of the second kind. The results of this paper concern the exact region of local univalence, bounds for the radius of univalence, the coefficient problems within the considered family as well as the basic properties of obtained orthogonal polynomials.
LA - eng
KW - Typically-real functions; univalent functions; local univalence; univalence; starlikeness; Chebyshev polynomials; orthogonal polynomials
UR - http://eudml.org/doc/289724
ER -
References
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