Roger Barnard

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All published works

Action	Title	Year	Authors
+ PDF Chat	Dynamics of Iterations of the Newton Map of sin(z)	2024	Aimée Cloutier Jerry Dwyer Roger Barnard William D. Stone G. Brock Williams
+	Dynamics of the Newton maps of rational functions	2021	Roger Barnard Jerry Dwyer Erin Elizabeth Williams G. Brock Williams
+	Addendum to “A direct proof of Brannan's conjecture for β = 1” [J. Math. Anal. Appl. 493 (2) (2021) 124534]	2020	Roger Barnard Kendall C. Richards
+	A direct proof of Brannan's conjecture for β = 1	2020	Roger Barnard Kendall C. Richards
+ PDF Chat	Fixed Points, Symmetries, and Bounds for Basins of Attraction of Complex Trigonometric Functions	2020	Kasey Bray Jerry Dwyer Roger Barnard G. Brock Williams
+ PDF Chat	The linearly decreasing stress Weibull (LDSWeibull): a new Weibull-like distribution	2019	Roger Barnard Chamila Perera James G. Surles A. Alexandre Trindade
+	On sharp bounds for ratios of 𝑘-balanced hypergeometric functions	2019	Roger Barnard Kendall C. Richards Elyssa Sliheet
+	Conjugacies of the Newton maps of rational functions	2018	Roger Barnard Jerry Dwyer Erin Elizabeth Williams G. Brock Williams
+	When is tail mean estimation more efficient than tail median? Answers and implications for quantitative risk management	2017	Roger Barnard Kent Pearce A. Alexandre Trindade
+	A note on Bohr's phenomenon for power series	2016	Rosihan M. Ali Roger Barnard Alexander Yu. Solynin
+	Brannan’s conjecture and trigonometric sums	2015	Roger Barnard Udaya Chinthaka Jayatilake Alexander Yu. Solynin
+	Convex Icebergs and Sectorial Starlike Functions	2013	Roger Barnard Matthew H. Lochman Alexander Yu. Solynin
+	Banks’ criterion and symmetric stable laws with index of stability between one-half and one	2012	Roger Barnard Petros Hadjicostas
+ PDF Chat	Iceberg‐type problems: Estimating Hidden parts of a continuum from the visible parts	2012	Roger Barnard Kent Pearce Alexander Yu. Solynin
+	Circle packing complex earthquakes	2011	Roger Barnard Eric Michael Murphy G. Brock Williams
+	Hyperbolically convex functions and the generalized Fekete–Szegö functional	2011	Roger Barnard David R. Martin G. Brock Williams
+ PDF Chat	A survey of some bounds for Gauss' hypergeometric function and related bivariate means	2010	Roger Barnard Kendall C. Richards Hilari C. Tiedeman
+	On Conformal Mappings onto Quasidisks Ngin-Tee Koh	2010	Roger Barnard
+	On a Conjecture of Fournier, Ma, and Ruscheweyh for Bounded Convex Functions	2010	Roger Barnard Casey R. Hume G. Brock Williams
+	Euclidean earthquakes†	2009	Roger Barnard Eric Michael Murphy G. Brock Williams
+ PDF Chat	A proof of Campbell's subordination conjecture	2009	Roger Barnard Kent Pearce
+	A note on Turán type and mean inequalities for the Kummer function	2008	Roger Barnard Michael B. Gordy Kendall C. Richards
+	The Verication of an Inequality	2008	Roger Barnard Kent Pearce
+	Preservation of local dynamics when applying central difference methods: application to SIR model	2007	Lih-Ing W. Roeger Roger Barnard
+	ON INEQUALITIES FOR HYPERGEOMETRIC ANALOGUES OF THE ARITHMETIC-GEOMETRIC MEAN	2007	Roger Barnard Kendall C. Richards
+ PDF Chat	A minimal area problem for nonvanishing functions	2006	Roger Barnard C. Richardson Alexander Yu. Solynin
+ PDF Chat	THE SHARP BOUND FOR THE DEFORMATION OF A DISC UNDER A HYPERBOLICALLY CONVEX MAP	2006	Roger Barnard Leah Joanne Cole Kent Pearce G. Brock Williams
+ PDF Chat	A variational method for hyperbolically convex functions	2006	Roger Barnard Kent Pearce Gerard L Ornas
+	Univalency of weighted integral transforms of certain functions	2005	Roger Barnard S. Naik Saminathan Ponnusamy
+ PDF Chat	The Poincaré metric and isoperimetric inequalities for hyperbolic polygons	2005	Roger Barnard Petros Hadjicostas Alexander Yu. Solynin
+	Concentration of area in half-planes	2005	Roger Barnard Clint Richardson Alexander Yu. Solynin
+ PDF Chat	Three Extremal Problems for Hyperbolically Convex Functions	2004	Roger Barnard Kent Pearce G. Brock Williams
+	Local variations and minimal area problem for Caratheodory functions	2004	Roger Barnard Alexander Yu. Solynin
+	TWO PARAMETER FAMILIES OF CLOSE-TO-CONVEX FUNCTIONS AND CONVOLUTION THEOREMS	2004	Roger Barnard S. Naik Milutin Obradović Saminathan Ponnusamy
+ PDF Chat	Area, width, and logarithmic capacity of convex sets	2003	Roger Barnard Kent Pearce Alexander Yu. Solynin
+	Minimal Harmonic Measure on Complementary Regions	2003	Roger Barnard Leah Joanne Cole Alexander Yu. Solynin
+ PDF Chat	Combinatorial excursions in moduli space	2002	Roger Barnard G. Brock Williams
+	An isoperimetric inequality for logarithmic capacity	2002	Roger Barnard Kent Pearce Alexander Yu. Solynin
+	Applications of special function theory to complex analysis	2002	Leah Joanne Cole Roger Barnard Kent Pearce
+ PDF Chat	Zeros of cesàro sum approximations	2001	Roger Barnard Kent Pearce William Wheeler
+	A Note on the Hypergeometric Mean Value	2001	Roger Barnard Kendall C. Richards
+	Inequalities for the Perimeter of an Ellipse	2001	Roger Barnard Kent Pearce Lawrence Schovanec
+	Polynomial controllers for linear systems	2001	Roger Barnard W.P. Dayawansa Clyde F. Martin
+ PDF Chat	An Inequality Involving the Generalized Hypergeometric Function and the Arc Length of an Ellipse	2000	Roger Barnard Kent Pearce Kendall C. Richards
+ PDF Chat	A Monotonicity Property Involving <sub>3</sub><i>F</i><sub>2</sub> and Comparisons of the Classical Approximations of Elliptical Arc Length	2000	Roger Barnard Kent Pearce Kendall C. Richards
+	On applications of hypergeometric functions	1999	Roger Barnard
+	A Short Proof of a Conjecture on the Integral Means of the Derivative of a Convex Function	1999	Roger Barnard Kent Pearce
+	Gram Polynomials and the Kummer Function	1998	Roger Barnard Germund Dahlquist Kent Pearce Lothar Reichel Kendall C. Richards
+ PDF Chat	On a Coefficient Conjecture of Brannan	1997	Roger Barnard Kent Pearce William Wheeler
+ PDF Chat	Inequalities for Zero-Balanced Hypergeometric Functions	1995	G. D. Anderson Roger Barnard Kendall C. Richards M. K. Vamanamurthy Матти Вуоринен
+ PDF Chat	Inequalities for zero-balanced hypergeometric functions	1995	G. D. Anderson Roger Barnard Kendall C. Richards M. K. Vamanamurthy Матти Вуоринен
+	A Distortion Theorem for Biholomorphic Mappings in ℂ 2	1994	Roger Barnard Carl H. Fitzgerald Sheng Gong
+ PDF Chat	A distortion theorem for biholomorphic mappings in ${\bf C}\sp 2$	1994	Roger Barnard Carl H. Fitzgerald Sheng Gong
+	An application from partial sums of ez to a problem in several complex variables	1993	Roger Barnard Kent Pearce Richard S. Varga
+ PDF Chat	Sharp bounds on the <i>H<sub>p</sub> </i> means of the derivative of a convex function for <i>p</i>=-1	1993	Roger Barnard Kent Pearce
+ PDF Chat	The growth and 1<i>∕</i>4-theorems for starlike mappings in C<sup><i>n</i></sup>	1991	Roger Barnard Carl H. Fitzgerald Sheng Gong
+ PDF Chat	Polynomials with nonnegative coefficients	1991	Roger Barnard W.P. Dayawansa Kent Pearce David A. Weinberg
+	Möbius transformations of starlike mappings	1990	Roger Barnard Glenn Schober
+	Weighted inverse Hölder inequalities	1990	Roger Barnard J. H. Wells
+	Open problems and conjectures in complex analysis	1990	Roger Barnard
+	Möbius transformations of convex mappings II	1986	Roger Barnard Glenn Schober
+	On Zeros of Interpolating Polynomials	1986	Roger Barnard Wayne T. Ford Hsing Y. Wang
+	Rounding corners of gearlike domains and the omitted area problem	1986	Roger Barnard Kent Pearce
+ PDF Chat	The Omitted Area Problem for Univalent Functions	1985	Roger Barnard
+ PDF Chat	Campbell's conjecture on a majorization-subordination result for convex functions	1984	Roger Barnard Charles N. Kellog
+	Möbius transformations of convex mappings	1984	Roger Barnard Glenn Schober
+ PDF Chat	On the simultaneous univalence of $f$\ and $f^{\prime} $.	1983	Roger Barnard T. J. Suffridge
+ PDF Chat	Applications of convolution operators to problems in univalent function theory.	1980	Roger Barnard Charles E. Kellogg
+	On Robinson's ½ Conjecture	1978	Roger Barnard
+	A Generalization of Study's Theorem on Convex Maps	1978	Roger Barnard
+ PDF Chat	A generalization of Study’s theorem on convex maps	1978	Roger Barnard
+ PDF Chat	On Robinson’s 1\over2 conjecture	1978	Roger Barnard
+ PDF Chat	On bounded univalent functions whose ranges contain a fixed disk	1977	Roger Barnard
+ PDF Chat	On Bounded Univalent Functions Whose Ranges Contain a Fixed Disk	1977	Roger Barnard
+ PDF Chat	On quasi-starlike functions	1976	Roger Barnard
+ PDF Chat	Correction to: “Subordination theorems for some classes of starlike functions”	1975	Roger Barnard John Lewis
+	On the Radius of Starlikeness of (zf) � for f Univalent	1975	Roger Barnard
+ PDF Chat	A Variational Technique for Bounded Starlike Functions	1975	Roger Barnard
+	Coefficient bounds for some classes of starlike functions	1975	Roger Barnard John D. Lewis
+ PDF Chat	Subordination theorems for some classes of starlike fumctions	1975	Roger Barnard John Lewis
+ PDF Chat	On a Coefficient Inequality for Starlike Functions	1975	Roger Barnard
+ PDF Chat	On the radius of starlikeness of (𝑧𝑓)^{’} for 𝑓 univalent	1975	Roger Barnard
+ PDF Chat	On a coefficient inequality for starlike functions	1975	Roger Barnard
+ PDF Chat	A Counterexample to the Two-Thirds Conjecture	1973	Roger Barnard John L. Lewis
+ PDF Chat	A counterexample to the two-thirds conjecture	1973	Roger Barnard John L. Lewis
+	Extremal problems for univalent functions whose range contain a fixed disk	1971	Roger Barnard
+ PDF Chat	The modular space determined by a positive function	1942	Roger Barnard Herman H. Goldstine

Common Coauthors

Coauthor	Papers Together
Kent Pearce	21
G. Brock Williams	11
Kendall C. Richards	11
Alexander Yu. Solynin	11
Jerry Dwyer	4
Carl H. Fitzgerald	3
Glenn Schober	3
Leah Joanne Cole	3
Sheng Gong	3
Erin Elizabeth Williams	2
William Wheeler	2
Матти Вуоринен	2
S. Naik	2
M. K. Vamanamurthy	2
John Lewis	2
Petros Hadjicostas	2
Saminathan Ponnusamy	2
A. Alexandre Trindade	2
G. D. Anderson	2
Eric Michael Murphy	2
W.P. Dayawansa	2
James G. Surles	1
Matthew H. Lochman	1
Milutin Obradović	1
John D. Lewis	1
Elyssa Sliheet	1
Rosihan M. Ali	1
John L. Lewis	1
John L. Lewis	1
Clint Richardson	1
C. Richardson	1
T. J. Suffridge	1
J. H. Wells	1
Charles E. Kellogg	1
Richard S. Varga	1
Lih-Ing W. Roeger	1
Aimée Cloutier	1
Casey R. Hume	1
Kasey Bray	1
Lawrence Schovanec	1
David A. Weinberg	1
Kendall C. Richards	1
Charles N. Kellog	1
Wayne T. Ford	1
Herman H. Goldstine	1
William D. Stone	1
Clyde F. Martin	1
Germund Dahlquist	1
David R. Martin	1
Hilari C. Tiedeman	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Subordination theorems for some classes of starlike fumctions	1975	Roger Barnard John Lewis	11
+	Boundary Behaviour of Conformal Maps	1992	Christian Pommerenke	10
+	Geometric Theory of Functions of a Complex Variable	1969	G. Goluzin	10
+	Symmetrization in the geometric theory of functions of a complex variable	1994	В. Н. Дубинин	9
+	Conformal Invariants, Inequalities, and Quasiconformal Maps	1997	G. D. Anderson M. K. Vamanamurthy Матти Вуоринен	9
+	Rounding corners of gearlike domains and the omitted area problem	1986	Roger Barnard Kent Pearce	7
+	On an inequality connected with the coefficient conjecture for functions of bounded boundary rotation	1973	Dov Aharonov Shmuel Friedland	7
+ PDF Chat	A coefficient problem for a class of univalent functions.	1969	T. J. Suffridge	7
+	Inequalities for Compound Mean Iterations with Logarithmic Asymptotes	1993	Jonathan M. Borwein Peter Borwein	7
+	Open problems and conjectures in complex analysis	1990	Roger Barnard	6
+	Local variations and minimal area problem for Caratheodory functions	2004	Roger Barnard Alexander Yu. Solynin	6
+	On a coefficient conjecture of Brannan	1989	John G. Milcetich	5
+ PDF Chat	A note on extremal problems for certain classes of analytic functions	1966	William E. Kirwan	5
+	Möbius transformations of convex mappings II	1986	Roger Barnard Glenn Schober	5
+ PDF Chat	An Inequality Involving the Generalized Hypergeometric Function and the Arc Length of an Ellipse	2000	Roger Barnard Kent Pearce Kendall C. Richards	5
+	On hyperbolically convex functions	2000	Diego Mejía Christian Pommerenke	5
+ PDF Chat	Note on regions omitted by univalent functions	1949	A. W. Goodman	5
+	A minimal area problem in conformal mapping	1999	Dov Aharonov Harold S. Shapiro Alexander Yu. Solynin	5
+ PDF Chat	Inequalities for zero-balanced hypergeometric functions	1995	G. D. Anderson Roger Barnard Kendall C. Richards M. K. Vamanamurthy Матти Вуоринен	5
+ PDF Chat	Hyperbolically convex functions	1994	Wancang Ma David Minda	5
+	Some extremal problems on the hyperbolic polygons	1998	Alexander Yu. Solynin	5
+	An isoperimetric inequality for logarithmic capacity	2002	Roger Barnard Kent Pearce Alexander Yu. Solynin	5
+	On coefficient problems for certain power series	1974	David A. Brannan	5
+	Geometry of Discrete Groups	1994	John G. Ratcliffe	4
+	Gauss, Landen, Ramanujan, the Arithmetic-Geometric Mean, Ellipses, π, and the Ladies Diary	1988	Gert Almkvist Bruce C. Berndt	4
+	On univalent functions in the unit disk whose image contains a given disk	1970	E. Netanyahu	4
+ PDF Chat	On the univalence of some classes of regular functions	1971	Richard J. Libera A. E. Livingston	4
+	A positive sum from summability theory	1975	Richard Askey George Gasper Mourad E. H. Ismail	4
+ PDF Chat	On the radius of univalence of certain analytic functions	1966	A. E. Livingston	4
+	On the Radius of Univalence of Certain Classes of Analytic Functions	1969	K. S. Padmanabhan	4
+ PDF Chat	On circularly symmetric functions	1955	James A. Jenkins	4
+ PDF Chat	The Geometry of Discrete Groups	1983	Alan F. Beardon	4
+	Multivalent Functions.	1959	George Ś. Springer W. K. Hayman	4
+ PDF Chat	Hyperbolically convex functions II	1999	William Ma David Minda	4
+	A minimal area problem in conformal mapping II	2001	Dov Aharonov Harold S. Shapiro Alexander Yu. Solynin	4
+ PDF Chat	On Circularly Symmetric Functions	1955	James A. Jenkins	4
+	Isoperimetric inequalities in mathematical physics	1951	George Pólya Gábor Szegő	3
+	On values omitted by convex univalent mappings	1987	J. Waniurski	3
+	Research Problems in Complex Analysis	1989	David A. Brannan W. K. Hayman	3
+	Minimal area problems for functions with integral representation	2006	Dov Aharonov Harold S. Shapiro Alexander Yu. Solynin	3
+ PDF Chat	A variational method for hyperbolically convex functions	2006	Roger Barnard Kent Pearce Gerard L Ornas	3
+ PDF Chat	Majorization-subordination theorems for locally univalent functions. III	1974	Douglas M. Campbell	3
+ PDF Chat	On spherically convex univalent functions.	2000	Diego Mejía Ch. Pommerenke	3
+	Distortion in several variables	1986	Peter Duren Walter Rudin	3
+	Ramanujan’s Notebooks: Part V	1997	Bruce C. Berndt	3
+ PDF Chat	Some inequalities for hypergeometric functions	1966	B. C. Carlson	3
+	Coefficient bounds for some classes of starlike functions	1975	Roger Barnard John D. Lewis	3
+ PDF Chat	On the radius of starlikeness of (𝑧𝑓)^{’} for 𝑓 univalent	1975	Roger Barnard	3
+	Hyperbolically Convex Functions, Dimension and Capacity	2002	Diego Mejía Ch. Pommerenke	3
+	On a Conjecture of Clunie and Sheil-Small	1980	R. R. Hall	3