Univalence of continued fractions and Stieltjes transforms

James S. Thale

Type: Article

Publication Date: 1956-04-01

Citations: 20

DOI: https://doi.org/10.1090/s0002-9939-1956-0077589-1

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Proceedings of the American Mathematical Society - View - PDF

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Works That Cite This (18)

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+	The two-dimensional <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>g</mml:mi></mml:math>-fraction with independent variables for double power series	2012	Roman Dmytryshyn
+	New properties for several classes of functions related to the Fox–Wright functions	2019	Khaled Mehrez
+	Hypergeometric functions as generalized Stieltjes transforms	2012	Dmitrii Karp E. G. Prilepkina
+ PDF Chat	On univalence of a continued fraction	1960	E. P. Merkes William T. Scott
+ PDF Chat	On classes of univalent continued fractions	1965	T. L. Hayden E. P. Merkes
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+ PDF Chat	The radii of starlikeness and convexity of certain Nevanlinna analytic functions	1981	Maxwell O. Reade Pavel G. Todorov
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Works Cited by This (8)

Action	Title	Year	Authors
+	Analytic Theory of Continued Fractions	1967	H. S. Wall
+	The continued fraction as a sequence of linear transformations	1942	J. Findlay Paydon H. S. Wall
+	Power series with multiply monotonic sequences of coefficients	1941	George Philip Szegö
+ PDF Chat	A theorem on arbitrary 𝐽-fractions	1946	H. S. Wall
+ PDF Chat	Continued fractions and totally monotone sequences	1940	H. S. Wall
+	Quadratic forms and convergence regions for continued fractions	1944	H. S. Wall Marion Wetzel
+	The limit-circle case for a positive definite J-fraction	1945	Joseph J. Dennis H. S. Wall
+ PDF Chat	Continued Fractions and Totally Monotone Sequences	1940	H. S. Wall