H. W. Gould

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All published works
Action Title Year Authors
+ New proofs of Melzak's identity 2016 Ulrich Abel
H. W. Gould
Jocelyn Quaintance
+ On the Binomial Identities of Frisch and Klamkin. 2016 H. W. Gould
Jocelyn Quaintance
+ New proofs of Melzak's identity 2016 Ulrich Abel
H. W. Gould
Jocelyn Quaintance
+ Combinatorial Identities for Stirling Numbers: The Unpublished Notes of H W Gould 2015 Jocelyn Quaintance
H. W. Gould
+ PDF Chat Novel combinatorial identities analogous to those of Vandermonde, part I 2015 dsworth Wa
H. W. Gould
nry He
+ Combinatorial Identities for Stirling Numbers 2015 Jocelyn Quaintance
H. W. Gould
+ On Certain Sums of Stirling Numbers with Binomial Coefficients 2015 H. W. Gould
Harris Kwong
Jocelyn Quaintance
+ Bernoulli Numbers and a New Binomial Transform Identity 2014 H. W. Gould
Jocelyn Quaintance
+ Double Fun with Double Factorials 2012 H. W. Gould
Jocelyn Quaintance
+ PDF Chat Special Function Inverse Series Pairs 2010 Salar Yaseen Alsardary
H. W. Gould
+ Generalizations of Vosmansky’s Identity 2010 H. W. Gould
Jocelyn Quaintance
+ A Catalog of Interesting Dirichlet Series 2008 H. W. Gould
Temba Shonhiwa
+ A Note on Combinatorial Identities arising from the Lagrange-Waring Interpolation Formula. 2008 H. W. Gould
+ Implications of Spivey's Bell Number Formula 2008 H. W. Gould
Jocelyn Quaintance
+ PDF Chat Additional analysis of binomial recurrence coefficients 2007 H. W. Gould
Jocelyn Quaintance
+ PDF Chat A linear binomial recurrence and the Bell numbers and polynomials 2007 H. W. Gould
Jocelyn Quaintance
+ Bell and Catalan Numbers: A Research Bibliography of Two Special Number Sequences 2007 H. W. Gould
+ Remarks on MacMahons identity for sums of cubes of binomial coefficients. 2007 L. Carlitz
H. W. Gould
+ PDF Chat A Baker's proofs of a binomial identity 2005 H. W. Gould
+ 88.03 A curious identity which is not so curious 2004 H. W. Gould
+ Sums of powers of binomial coefficients via Legendre polynomials, Part 2. 2004 H. W. Gould
+ The Girard-Waring Power Sum Formulas for Symmetric Functions, and Fibonacci Sequences 1999 H. W. Gould
+ Some combinatorial identities associated with the Vandermonde convolution 1997 H. W. Gould
H. M. Srivastava
+ PDF Chat A Set of Polynomials Associated with the Higher Derivatives of $y=x^x$ 1996 H. W. Gould
+ Series Transformations for Finding Recurrences for Sequences 1990 H. W. Gould
+ Series expansions of means 1984 H. W. Gould
Michael Mays
+ <i>Der Beginn der Determinantentheorie: Leibnizens nachgelassene Studien zum Determinantenkalkul. Textband</i>. Eberhard Knobloch 1982 H. W. Gould
+ A History of the Fibonacci <i>Q</i> -Matrix and a Higher-Dimensional Problem 1981 H. W. Gould
+ Euler's Formula for<i>n</i>th Differences of Powers 1978 H. W. Gould
+ Generalization of a formula of Touchard for Catalan numbers 1977 H. W. Gould
+ A Fibonacci Formula of Lucas and its Subsequent Manifestations and Rediscoveries 1977 H. W. Gould
+ A Rearrangement of Series Based on a Partition of the Natural Numbers 1977 H. W. Gould
+ Some Sequences Generated by Spiral Sieving Methods 1974 H. W. Gould
+ A Note on the Number of Linearly Inducible Orderings of Points in <i>d</i>-Space 1974 H. W. Gould
+ A History of π(Pi) 1974 H. W. Gould
Petr Beckmann
+ Coefficient Identities for Powers of Taylor and Dirichlet Series 1974 H. W. Gould
+ Coefficient Identities for Powers of Taylor and Dirichlet Series 1974 H. W. Gould
+ A Triangle with Integral Sides and area 1973 H. W. Gould
+ Some Combinatorial Identities of Bruckman a Systematic Treatment with Relation to the Older Literature 1972 H. W. Gould
+ Combinatorial Identities: A Standardized Set of Tables Listing 500 Binomial Coefficient Summations 1972 H. W. Gould
+ A New Greatest Common Divisor Property of the Binomial Coefficients 1972 H. W. Gould
+ A New Primality Criterion of Mann and Shanks and its Relation to a Theorem of Hermite with Extension to Fibonomials 1972 H. W. Gould
+ A new symmetrical combinatorial ldentity 1972 H. W. Gould
+ Explicit Formulas for Bernoulli Numbers 1972 H. W. Gould
+ Remarks on a Paper of Srivastava 1971 H. W. Gould
+ Note on Two Binomial Coefficient Identities of Rosenbaum 1969 H. W. Gould
+ “Up-Down” Permutations (D. J. Newman and W. Weissblum) 1968 H. W. Gould
+ Evaluation of a class of binomial coefficient summations 1966 H. W. Gould
Josef KauckĂ˝
+ Note on a q-series transform 1966 H. W. Gould
+ Inverse series relations and other expansions involving Humbert polynomials 1965 H. W. Gould
+ An identity involving stirling numbers 1965 H. W. Gould
+ A Variant of Pascal’s Triangle 1965 H. W. Gould
+ The Construction of Orthogonal and Quasi-Orthogonal Number Sets 1965 H. W. Gould
+ The Operator (<i>a<sup>x</sup></i>Δ)<sup><i>n</i></sup> and Stirling Numbers of the First Kind 1964 H. W. Gould
+ The Operator (a x Δ) n and Stirling Numbers of the First Kind 1964 H. W. Gould
+ A new series transform with applications to Bessel, Legendre, and Tchebycheff polynomials 1964 H. W. Gould
+ Bracket Function Congruences for Binomial Coefficients 1964 L. Carlitz
H. W. Gould
+ Bracket Function Congruences for Binomial Coefficients 1964 L. Carlitz
H. W. Gould
+ The Functional Operator <i>Tf(x) = F(x+a)f(x+b)-f(x)f(x+a+b)</i> 1964 H. W. Gould
+ The Functional Operator Tf(x) = f(x + a)f(x + b) - f(x)f(x + a + b) 1964 H. W. Gould
+ Isotone and Antitone Fractions 1963 H. W. Gould
+ PDF Chat A General Turán Expression for the Zeta Function 1963 H. W. Gould
+ Isotone and Antitone Fractions 1963 H. W. Gould
+ PDF Chat Generalization of a Bracket Function Formula of L. Moser 1963 H. W. Gould
+ PDF Chat Note on Two Binomial Coefficient Sums Found by Riordan 1963 H. W. Gould
+ Operational Recurrences Involving Fibonacci Numbers 1963 H. W. Gould
+ Maclaurin's Second Formula and its Generalization 1963 H. W. Gould
William Squire
+ A new convolution formula and some new orthogonal relations for inversion of series 1962 H. W. Gould
+ Generalization of an integral formula of Bateman 1962 H. W. Gould
+ Some Curious Limits Involving Definite Integrals 1962 H. W. Gould
T. A. Chapman
+ Congruences Involving Sums of Binomial Coefficients and a Formula of Jensen 1962 H. W. Gould
+ Mathematical Notes 1962 R. G. Buschman
E. W. Wallace
W. J. Wong
H. W. Gould
J. T. Chu
Michael Skalsky
+ Operational formulas connected with two generalizations of Hermite polynomials 1962 H. W. Gould
A. T. Hopper
+ PDF Chat The $q$-Series Generalization of a Formula of Sparre Andersen. 1961 H. W. Gould
+ Some Relations Involving the Finite Harmonic Series 1961 H. W. Gould
Charles W. Trigg
+ PDF Chat A Generalization of a Problem of L. Lorch and L. Moser 1961 H. W. Gould
+ Some Relations Involving the Finite Harmonic Series 1961 H. W. Gould
+ The q-Stirling numbers of first and second kinds 1961 H. W. Gould
+ PDF Chat Fjeldstad's Series and the $q$-Analog of a Series of Dougall. 1960 H. W. Gould
+ PDF Chat Stirling number representation problems 1960 H. W. Gould
+ Generalization of a theorem of Jensen concerning convolutions 1960 H. W. Gould
+ PDF Chat The Lagrange interpolation formula and Stirling numbers 1960 H. W. Gould
+ PDF Chat A $q$-binomial coefficient series transform 1960 H. W. Gould
+ A Theorem Concerning the Bernstein Polynomials 1958 H. W. Gould
+ Final Analysis of Vandermonde's Convolution 1957 H. W. Gould
+ Final Analysis of Vandermonde's Convolution 1957 H. W. Gould
+ Some Generalizations of Vandermonde's Convolution 1956 H. W. Gould
+ Some Generalizations of Vandermonde's Convolution 1956 H. W. Gould
+ A Note on a Paper of Grosswald 1954 H. W. Gould
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ An Introduction to Combinatorial Analysis 1958 R. A. Leibler
John Riordan
7
+ PDF Chat Stirling number representation problems 1960 H. W. Gould
7
+ Some Generalizations of Vandermonde's Convolution 1956 H. W. Gould
6
+ History of the Theory of Numbers 1919 L. E. Dickson
5
+ Final Analysis of Vandermonde's Convolution 1957 H. W. Gould
5
+ Vorlesungen über Differenzenrechnung 1924 Niels Erik Nörlund
5
+ Calculus of finite differences 1939 Károly Jordán
5
+ On Stirling's Numbers 1933 Charles Jordan
4
+ A new convolution formula and some new orthogonal relations for inversion of series 1962 H. W. Gould
4
+ q-Bernoulli numbers and polynomials 1948 L. Carlitz
4
+ The q-Stirling numbers of first and second kinds 1961 H. W. Gould
4
+ Generalization of a theorem of Jensen concerning convolutions 1960 H. W. Gould
4
+ Combinatorial Identities: A Standardized Set of Tables Listing 500 Binomial Coefficient Summations 1972 H. W. Gould
3
+ An Introduction to Combinatorial Analysis 1959 L. Schmetterer
J. Riordan
3
+ PDF Chat The Lagrange interpolation formula and Stirling numbers 1960 H. W. Gould
3
+ Formal Power Series 1969 Ivan Niven
3
+ Coefficient Identities for Powers of Taylor and Dirichlet Series 1974 H. W. Gould
3
+ Lehrbuch der Combinatorik 1902 Eugen Netto
2
+ PDF Chat Introduction to the Theory of Infinite Series 1966 T. J. Bromwich
2
+ PDF Chat An introduction to combinatorics 1992 Gerald Berman
K.D. Fryer
2
+ A Generalization of the Connection Between the Fibonacci Sequence and Pascal’s Triangle 1963 Joseph A. Raab
2
+ Final Analysis of Vandermonde's Convolution 1957 H. W. Gould
2
+ PDF Chat An Introduction to the Theory of Infinite Series 1908 G. B. M.
2
+ Expansion of Analytic Functions in Polynomials Associated with Fibonacci Numbers 1963 Paul F. Byrd
2
+ Studien ĂĽber die Bernoullischen und Eulerschen Zahlen 1883 J. Worpitzky
2
+ A Primer on the Fibonacci Sequence, Part II 1963 S. L. Basin
Verner E. Hoggatt
2
+ Explicit Formulas for Bernoulli Numbers 1972 H. W. Gould
2
+ An Introduction to the Theory of Numbers. By G. H. Hardy and E. M. Wright. 2nd edition. Pp. xvi, 407 25s. 1945. (Oxford) 1946 T. A. A. B.
2
+ Integral Representation and the Computation of Combinatorial Sums 1984 G. Egorychev
2
+ Congruences Involving Sums of Binomial Coefficients and a Formula of Jensen 1962 H. W. Gould
2
+ A Theorem Concerning the Bernstein Polynomials 1958 H. W. Gould
2
+ Studien ĂĽber die Bernoullischen und Eulerschen Zahlen. 1883 J. Worpitzky
2
+ An identity involving stirling numbers 1965 H. W. Gould
2
+ A short proof of an identity of Touchard's concerning catalan numbers 1976 Louis W. Shapiro
2
+ PDF Chat Sur une identité d'Abel et sur d'autres formules analogues 1902 J. L. W. V. Jensen
2
+ Proofs of Some Formulae Enunciated by Ramanujan 1923 Benjamin Wilson
2
+ Expansions of q-Bernoulli numbers 1958 L. Carlitz
2
+ PDF Chat Smithsonian Miscellaneous Collections 1924 A cONTRIBUTION
Toward An
Robert E. Snodgrass
2
+ Inverse series relations and other expansions involving Humbert polynomials 1965 H. W. Gould
2
+ General Space-Momentum Commutation Relation 1967 David M. Rosenbaum
2
+ Operational formulas connected with two generalizations of Hermite polynomials 1962 H. W. Gould
A. T. Hopper
2
+ PDF Chat Functional composition patterns and power series reversion 1960 George N. Raney
2
+ On elementary calculus and the good formula 1975 W. T. Tutte
2
+ Inverse Relations and Combinatorial Identities 1964 John Riordan
2
+ Some Generalizations of Vandermonde's Convolution 1956 H. W. Gould
2
+ <i>Generalized Hypergeometric Functions</i> 1967 L. J. Slater
Werner C. Rheinboldt
1
+ PDF Chat Sur quelques points de la théorie des fonctions 1895 Émile Borel
1
+ The Number of Topologies on a Finite Set 2006 Moussa Benoumhani
1
+ A new series transform with applications to Bessel, Legendre, and Tchebycheff polynomials 1964 H. W. Gould
1
+ PDF Chat Triangulated polygons and frieze patterns 1973 John H. Conway
H. S. M. Coxeter
1