Douglas Bowman

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All published works

Action	Title	Year	Authors
+	General Fine transformations I	2024	Douglas Bowman Sarah Wesley
+ PDF Chat	Combinatorics of continuants of continued fractions with 3 limits	2021	Douglas Bowman Herman D. Schaumburg
+	General Fine transformations I	2020	Douglas Bowman Sarah Wesley
+	Combinatorics of Continuants of Continued Fractions with 3 Limits	2020	Douglas Bowman Herman D. Schaumburg
+	Combinatorics of Continuants of Continued Fractions with 3 Limits	2020	Douglas Bowman Herman D. Schaumburg
+	Continued Fractions and Generalizations with Many Limits: A Survey	2019	Douglas Bowman James Mc Laughlin
+	Continued Fractions and Generalizations with Many Limits: A Survey	2019	Douglas Bowman James Laughlin
+	On the Divergence in the General Sense of $q$-Continued Fraction on the Unit Circle	2018	Douglas Bowman James Mc Laughlin
+	Fibonacci Contractions of Continued Fractions	2014	Douglas Bowman
+	Counting symmetry classes of dissections of a convex regular polygon	2014	Douglas Bowman Alon Regev
+	Counting symmetry classes of dissections of a convex regular polygon	2012	Douglas Bowman Alon Regev
+ PDF Chat	Natural numbers n for which \lfloor nα+s\rfloor \not =\lfloor nβ+s\rfloor	2012	Douglas Bowman Alexandru Zaharescu
+	Counting symmetry classes of dissections of a convex regular polygon	2012	Douglas Bowman Alon Regev
+ PDF Chat	Continued fraction proofs of m-versions of some identities of Rogers–Ramanujan–Slater type	2011	Douglas Bowman James Mc Laughlin Nancy J. Wyshinski
+ PDF Chat	Some more identities of the Rogers-Ramanujan type	2008	Douglas Bowman James Mc Laughlin Andrew V. Sills
+	Asymptotics and Sequential Closures of Continued Fractions and Generalizations	2007	Douglas Bowman James Mc Laughlin
+ PDF Chat	A q-CONTINUED FRACTION	2006	Douglas Bowman James Mc Laughlin Nancy J. Wyshinski
+ PDF Chat	The convergence behavior of q-continued fractions on the unit circle	2006	Douglas Bowman James Mc Laughlin
+	Continued fractions with multiple limits	2006	Douglas Bowman James Mc Laughlin
+	Some more identities of the Rogers-Ramanujan type	2006	Douglas Bowman James Mc Laughlin Andrew V. Sills
+ PDF Chat	The Convergence and Divergence of $q$-Continued Fractions outside the Unit Circle	2006	Douglas Bowman James McLaughlin
+	Continued Fractions and Generalizations with Many Limits: A Survey	2006	Douglas Bowman James McLaughlin
+	Some more identities of the Rogers-Ramanujan type	2006	Douglas Bowman James Laughlin Andrew V. Sills
+	A theorem on divergence in the general sense for continued fractions	2004	Douglas Bowman James Mc Laughlin
+	On the divergence of the Rogers-Ramanujan continued fraction on the unit circle	2003	Douglas Bowman James McLaughlin
+ PDF Chat	Resolution of Some Open Problems Concerning Multiple Zeta Evaluations of Arbitrary Depth	2003	Douglas Bowman David M. Bradley
+	G-continued fractions for basic hypergeometric functions II	2003	Douglas Bowman Geumlan Choi
+	Some multi-set inclusions associated with shuffle convolutions and multiple zeta values	2003	Douglas Bowman David M. Bradley Ji Hoon Ryoo
+	On The Divergence in the General Sense of q-Continued Fractions on the Unit Circle	2003	Douglas Bowman James McLaughlin
+	Multiple Polylogarithms: A Brief Survey	2003	Douglas Bowman David M. Bradley
+	𝑞-difference operators, orthogonal polynomials, and symmetric expansions	2002	Douglas Bowman
+	The Algebra and Combinatorics of Shuffles andMultiple Zeta Values	2002	Douglas Bowman David M. Bradley
+ PDF Chat	Polynomial continued fractions	2002	Douglas Bowman James Mc Laughlin
+	Multiple polylogarithms: a brief survey	2001	Douglas Bowman David M. Bradley
+	Rational Approximation to a New Generalization of the Rogers–Ramanujan Continued Fraction	2000	Douglas Bowman Geumlan Choi
+	An Easy Proof of the Askey–Wilson Integral and Applications of the Method	2000	Douglas Bowman
+	G-Continued Fractions for Basic Hypergeometric Functions	2000	Douglas Bowman Geumlan Choi
+	THE BAILEY TRANSFORM AND D.B. SEARS	1999	George E. Andrews Douglas Bowman
+ PDF Chat	Partitions with numbers in their gaps	1996	Douglas Bowman
+	A general Heine transformation and symmetric polynomials of Rogers	1996	Douglas Bowman
+ PDF Chat	A Full Extension of the Rogers-Ramanujan Continued Fraction	1995	George E. Andrews Douglas Bowman
+ PDF Chat	A full extension of the Rogers-Ramanujan continued fraction	1995	George E. Andrews Douglas Bowman
+	Approximation of ⌊nα + s⌋ and the Zero of {nα + s}	1995	Douglas Bowman
+	Modified convergence for 𝑞-continued fractions defined by functional relations	1994	Douglas Bowman
+	A New Generalization of Davison's Theorem	1988	Douglas Bowman

Common Coauthors

Coauthor	Papers Together
James Mc Laughlin	11
David M. Bradley	5
James McLaughlin	4
Herman D. Schaumburg	3
Andrew V. Sills	3
George E. Andrews	3
Geumlan Choi	3
Alon Regev	3
James Laughlin	2
Sarah Wesley	2
Nancy J. Wyshinski	2
Alexandru Zaharescu	1
Ji Hoon Ryoo	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Continued Fractions with Applications.	1994	David R. Masson Lisa Lorentzen Haakon Waadeland	11
+	Basic Hypergeometric Series	2004	George Gasper Mizan Rahman	8
+	The Theory of Partitions	1984	George E. Andrews	8
+	Continued fractions with three limit points	2004	George E. Andrews Bruce C. Berndt Jaebum Sohn Ae Ja Yee Alexandru Zaharescu	6
+ PDF Chat	The continued fractions found in the unorganized portions of Ramanujan’s notebooks	1992	George E. Andrews Bruce C. Berndt Lisa Jacobsen Robert L. Lamphere	6
+	Further Identities of the Rogers-Ramanujan Type	1952	Louise Slater	5
+	The lost notebook and other unpublished papers	1989	Srinivasa Ramanujan Aiyangar George E. Andrews	5
+ PDF Chat	General convergence of continued fractions	1986	Lisa Jacobsen	5
+	Values of Zeta Functions and Their Applications	1994	Don Zagier	4
+	Lyndon words, polylogarithms and the Riemann ζ function	2000	Hoang Ngoc Minh Michel Petitot	4
+	Ramanujan's Lost Notebook: Part II	2009	George E. Andrews Bruce C. Berndt	4
+ PDF Chat	Evaluations of $k$-fold Euler/Zagier sums: a compendium of results for arbitrary $k$	1996	Jonathan M. Borwein David M. Bradley D. J. Broadhurst	4
+ PDF Chat	Combinatorial Aspects of Multiple Zeta Values	1998	Jonathan M. Borwein David M. Bradley D.J. Broadhurst Petr Lisoněk	4
+ PDF Chat	Multiple polylogarithms, cyclotomy and modular complexes	1998	A. B. Goncharov	4
+	𝑞-Series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics and Computer Algebra	1986	George E. Andrews	4
+	Some continued fractions of the Rogers-Ramanujan type	1965	Basil Gordon	4
+	On the divergence of the Rogers-Ramanujan continued fraction on the unit circle	2003	Douglas Bowman James McLaughlin	4
+ PDF Chat	Multiple harmonic series	1992	Michael E. Hoffman	4
+ PDF Chat	q-difference equations and Ramanujan-Selberg continued fractions	1991	Liang-Cheng Zhang	4
+	Special values of multiple polylogarithms	2000	Jonathan M. Borwein David M. Bradley D.J. Broadhurst Petr Lisoněk	4
+ PDF Chat	Finite Rogers-Ramanujan Type Identities	2003	Andrew V. Sills	4
+	Continued fractions with multiple limits	2006	Douglas Bowman James Mc Laughlin	4
+	A New Proof of the Rogers-Ramanujan Identities	1929	G. N. Watson	4
+	Iterated Integrals and Exponential Homomorphisms<sup>†</sup>	1954	Kuo-Tsai Chen	3
+	Continued fractions— analytic theory and applications	1982	William B. Jones W. J. Thron	3
+	Ramanujan's Lost Notebook	2012	George E. Andrews Bruce C. Berndt	3
+	A natural ring basis for the shuffle algebra and an application to group schemes	1979	David E. Radford	3
+	Lehrbuch der algebraischen Analysis	1860	M. A. Stern	3
+	The Algebra of Multiple Harmonic Series	1997	Michael E. Hoffman	3
+ PDF Chat	Relations of multiple zeta values and their algebraic expression	2003	Michael E. Hoffman Yasuo Ohno	3
+ PDF Chat	Ramanujan's evaluations of Rogers-Ramanujan type continued fractions at primitive roots of unity	1997	Shiew‐Mei Huang	3
+ PDF Chat	Resolution of Some Open Problems Concerning Multiple Zeta Evaluations of Arbitrary Depth	2003	Douglas Bowman David M. Bradley	3
+ PDF Chat	Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops	1997	D.J. Broadhurst Dirk Kreimer	3
+	Integration of Paths, Geometric Invariants and a Generalized Baker- Hausdorff Formula	1957	Kuo-Tsai Chen	3
+	On Two Theorems of Combinatory Analysis and Some Allied Identities	1917	L. J. Rogers	3
+	On The Divergence in the General Sense of q-Continued Fractions on the Unit Circle	2003	Douglas Bowman James McLaughlin	3
+	Multiple polylogarithms: a brief survey	2001	Douglas Bowman David M. Bradley	3
+	Ramanujan continued fractions via orthogonal polynomials	2005	Mourad E. H. Ismail Dennis Stanton	3
+	A Generalization of the Duality and Sum Formulas on the Multiple Zeta Values	1999	Yasuo Ohno	3
+	Lie Elements and an Algebra Associated With Shuffles	1958	Rimhak Ree	3
+	Identities of the Rogers-Ramanujan Type	1948	W. N. Bailey	3
+	Modified convergence for 𝑞-continued fractions defined by functional relations	1994	Douglas Bowman	3
+	Ramanujan’s Notebooks: Part V	1997	Bruce C. Berndt	2
+	Polylogarithms in Arithmetic and Geometry	1995	A. B. Goncharov	2
+	Enumeration of Triangulations of the Disk	1964	William G. Brown	2
+	Nonlinear Numerical Methods and Rational Approximation	1988	Annie Cuyt	2
+	A NOTE ON CERTAIN <i>q</i>-IDENTITIES	1941	W. N. Bailey	2
+ PDF Chat	Evaluation of Triple Euler Sums	1996	Jonathan M. Borwein Roland Girgensohn	2
+	On Rogers-Ramanujan Type Identities Related to the Modulus 11	1975	George E. Andrews	2
+	Lattice gas generalization of the hard hexagon model. III.q-Trinomial coefficients	1987	George E. Andrews R. J. Baxter	2