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Á Baricz, A Swaminathan (2014)
Mapping properties of basic hypergeometric functionsJ. Class. Anal., 5
L Garza, F Marcellán (2009)
Szegő transformations and rational spectral transformations for associated polynomialsJ. Comput. Appl. Math., 233
A Zhedanov (1997)
Rational spectral transformations and orthogonal polynomialsJ. Comput. Appl. Math., 85
K Castillo, F Marcellán, J Rivero (2015)
On co-polynomials on the real lineJ. Math. Anal. Appl., 427
L Lorentzen, H Waadeland (1992)
Continued Fractions with Applications, Studies in Computational Mathematics, 3
GE Andrews, R Askey, R Roy (1999)
Special Functions, Encyclopedia of Mathematics and its Applications
R Küstner (2002)
Mapping properties of hypergeometric functions and convolutions of starlike or convex functions of order $$\alpha $$ αComput. Methods Funct. Theory, 2
HS Wall (1944)
Continued fractions and bounded analytic functionsBull. Am. Math. Soc., 50
WF Donoghue (1974)
The interpolation of pick functionsRocky Mt. J. Math., 4
WB Jones, O Njåstad, WJ Thron (1989)
Moment theory, orthogonal polynomials, quadrature, and continued fractions associated with the unit circleBull. Lond. Math. Soc., 21
MEH Ismail, E Merkes, D Styer (1990)
A generalization of starlike functionsComplex Variables Theory Appl., 14
EP Merkes (1959)
On typically-real functions in a cut planeProc. Am. Math. Soc., 10
PL Duren (1983)
Univalent Functions, Grundlehren der Mathematischen Wissenschaften
WB Jones, WJ Thron (1980)
Continued Fractions, Encyclopedia of Mathematics and its Applications
J Schur (1917)
Über Potenzreihen dei im Inneren des Einheitskreises beschränkt sindJ. Reine Angew. Math., 147
G Szegő (1975)
Orthogonal Polynomials
O Njåstad (1990)
Convergence of the Schur algorithmProc. Am. Math. Soc., 110
AV Tsygvintsev (2008)
On the convergence of continued fractions at Runckel’s pointsRamanujan J., 15
A Tsygvintsev (2013)
Bounded analytic maps, Wall fractions and $$ABC$$ A B C -flowJ. Approx. Theory, 174
A Sri (2010)
Ranga, Szegő polynomials from hypergeometric functionsProc. Am. Math. Soc., 138
HS Wall (1948)
Analytic Theory of Continued Fractions
K Castillo (2014)
On perturbed Szegő recurrencesJ. Math. Anal. Appl., 411
R Küstner (2007)
On the order of starlikeness of the shifted Gauss hypergeometric functionJ. Math. Anal. Appl., 334
The purpose of the present paper is to investigate some structural and qualitative aspects of two different perturbations of the parameters of g-fractions. In this context, the concept of gap g-fractions is introduced. While tail sequences of a continued fraction play a significant role in the first perturbation, Schur fractions are used in the second perturbation of the g-parameters that is considered. Illustrations are provided using Gaussian hypergeometric functions. Using a particular gap g-fraction, some members of the class of Pick functions are also identified.
Computational Methods and Function Theory – Springer Journals
Published: Oct 24, 2017
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