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Gould, Henry Wadsworth

Author ID: gould.henry-wadsworth Recent zbMATH articles by "Gould, Henry Wadsworth"
Published as: Gould, H. W.; Gould, Henry W.; Gould, Henry Wadsworth; Gould, Henry; Gould, H.
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 160 Publications since 1954, including 1 Book
2 Contributions as Editor · 1 Further Contribution
Reviewing Activity: 4 Reviews
Biographic References: 3 Publications
Co-Authors: 23 Co-Authors with 44 Joint Publications
1,096 Co-Co-Authors
all top 5

Serials

35 The Fibonacci Quarterly
13 American Mathematical Monthly
9 Duke Mathematical Journal
8 Mathematics Magazine
8 Indian Journal of Mathematics
5 Ars Combinatoria
5 Proceedings of the West Virginia Academy of Science
5 Utilitas Mathematica
5 Journal of Mathematical Research & Exposition
4 Journal of Integer Sequences
3 Canadian Mathematical Bulletin
3 Journal of Combinatorial Theory. Series A
3 Mathematica Scandinavica
3 Bulletin of the Institute of Combinatorics and its Applications
3 Nordisk Matematisk Tidskrift
2 Journal of Mathematical Physics
2 Proceedings of the American Mathematical Society
2 SIAM Journal on Applied Mathematics
2 Publikacije Elektrotehničkog Fakulteta. Serija: Matematika
2 Integers
2 Journal of Combinatorial Theory
2 Applicable Analysis and Discrete Mathematics
2 Journal of Mathematical Research with Applications
1 Indian Journal of Pure & Applied Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Mathematical Analysis and Applications
1 Rocky Mountain Journal of Mathematics
1 Acta Arithmetica
1 Annals of the Institute of Statistical Mathematics
1 Applied Mathematics and Computation
1 Journal of Natural Sciences and Mathematics
1 Kyungpook Mathematical Journal
1 The Mathematics Student
1 Publications de l’Institut Mathématique. Nouvelle Série
1 Bulletin of Number Theory and Related Topics
1 Bulletin of the Allahabad Mathematical Society
1 Buletinul Institutului Politehnic din Iași. Secția I
1 Glasnik Matematički. Serija III
1 Nieuw Archief voor Wiskunde. Derde Serie
1 Congressus Numerantium
1 Missouri Journal of Mathematical Sciences
1 Bulletin of the American Mathematical Society
1 Scripta Mathematica
1 Bulletin de la Société des Mathématiciens et des Physiciens de Macédoine
1 Annals of Mathematical Statistics
1 Scientia Sinica. Mathematica

Publications by Year

Citations contained in zbMATH Open

96 Publications have been cited 1,346 times in 1,166 Documents Cited by Year
Combinatorial identities. A standardized set of tables listing 500 binomial coefficient summations. Rev. ed. Zbl 0241.05011
Gould, Henry W.
202
1972
Operational formulas connected with two generalizations of Hermite polynomials. Zbl 0108.06504
Gould, H. W.; Hopper, A. T.
188
1962
Some combinatorial identities of Bruckman - a systematic treatment with relation to the older literature. Zbl 0263.05013
Gould, H. W.
129
1972
The q-Stirling numbers of first and second kinds. Zbl 0201.33601
Gould, H. W.
82
1961
Combinatorial identities for Stirling numbers. The unpublished notes of H. W. Gould. Zbl 1343.11002
Quaintance, Jocelyn
79
2016
Some generalizations of Vandermonde’s convolution. Zbl 0072.00702
Gould, H. W.
64
1956
Explicit formulas for Bernoulli numbers. Zbl 0227.10010
Gould, H. W.
59
1972
Sone new inverse series relations. Zbl 0281.05008
Gould, H. W.; Hsu, L. C.
56
1973
The Girard-Waring power sum formulas for symmetric functions and Fibonacci sequences. Zbl 0944.05007
Gould, Henry W.
43
1999
Coefficient identities for powers of Taylor and Dirichlet series. Zbl 0293.41024
Gould, H. W.
42
1974
Inverse series relations and other expansions involving Humbert polynomials. Zbl 0135.12001
Gould, H. W.
39
1965
A history of the Fibonacci Q-matrix and a higher-dimensional problem. Zbl 0467.10009
Gould, H. W.
29
1981
Euler’s formula for n-t differences of powers. Zbl 0397.10055
Gould, H. W.
24
1978
Final analysis of Vandermonde’s convolution. Zbl 0079.01005
Gould, H. W.
22
1957
The bracket function and Fontené-Ward generalized binomial coefficients with application to Fibonomial coefficients. Zbl 0191.32702
Gould, H. W.
21
1969
A series transformation for finding convolution identities. Zbl 0122.30501
Gould, H. W.
20
1961
Implications of Spivey’s Bell number formula. Zbl 1204.11054
Gould, H. W.; Quaintance, Jocelyn
17
2008
Stirling number representation problems. Zbl 0100.01704
Gould, H.
15
1960
Research bibliography of two special number sequences. Zbl 0226.10002
14
1971
Characterization of \( (c)\)-Riordan arrays, Gegenbauer-Humbert-type polynomial sequences, and \( (c)\)-Bell polynomials. Zbl 1299.05005
Gould, Henry W.; He, Tianxiao
14
2013
Double fun with double factorials. Zbl 1260.05003
Gould, Henry; Quaintance, Jocelyn
13
2012
Evaluation of a class of binomial coefficient summations. Zbl 0145.01401
Gould, H. W.; Kaucký, Josef
10
1966
Series transformations for finding recurrences for sequences. Zbl 0707.11012
Gould, H. W.
10
1990
A new convolution formula and some new orthogonal relations for inversion of series. Zbl 0122.30502
Gould, H. W.
10
1962
Some combinatorial identities associated with the Vandermonde convolution. Zbl 0880.05008
Gould, H. W.; Srivastava, H. M.
9
1997
Research bibliography of two special number sequences. Rev. ed. Zbl 0327.10001
9
1976
A new symmetrical combinatorial identity. Zbl 0257.05012
Gould, H. W.
9
1972
Evaluation of sums of convolved powers using Stirling and Eulerian numbers. Zbl 0392.05004
Gould, H. W.
8
1978
Generalization of a theorem of Jensen concerning convolutions. Zbl 0101.28702
Gould, H. W.
7
1960
Some combinatorial identities: Comment on a paper of Srivastava. Zbl 0265.05003
Gould, H. W.
6
1973
Binomial coefficients, the bracket function, and compositions with relatively prime summands. Zbl 0129.02903
Gould, H. W.
6
1964
A new series transform with applications to Bessel, Legendre, and Tchebycheff polynomials. Zbl 0137.04003
Gould, H. W.
6
1964
Note on recurrence relations for Stirling numbers. Zbl 0145.01403
Gould, H. W.
6
1966
A linear binomial recurrence and the Bell numbers and polynomials. Zbl 1204.05022
Gould, H. W.; Quaintance, Jocelyn
6
2007
A catalog of interesting Dirichlet series. Zbl 1143.11005
Gould, H. W.; Shonhiwa, Temba
6
2008
Series expansions of means. Zbl 0582.41026
Gould, H. W.; Mays, M. E.
6
1984
Power product expansions. Zbl 0676.41030
Gingold, H.; Gould, H. W.; Mays, Michael E.
5
1988
Generalization of Hermite’s divisibility theorems and the Mann-Shanks primality criterion for s-Fibonomial arrays. Zbl 0278.10013
Gould, H. W.
5
1974
Two remarkable extensions of the Leibniz differentiation formula. Zbl 0327.26003
Gould, H. W.
5
1972
An identity involving Stirling numbers. Zbl 0132.25104
Gould, H. W.
5
1965
Congruences involving sums of binomial coefficients and a formula of Jensen. Zbl 0114.01105
Gould, H. W.
5
1962
The Lagrange interpolation formula and Stirling numbers. Zbl 0102.04904
Gould, H. W.
5
1960
A new primality criterion of Mann and Shanks and its relation to a theorem of Hermite with extension to Fibonomials. Zbl 0251.10015
Gould, H. W.
4
1972
On the binomial identities of Frisch and Klamkin. Zbl 1348.05028
Gould, H. W.; Quaintance, Jocelyn
4
2016
A theorem concerning the Bernstein polynomials. Zbl 0088.27301
Gould, H. W.
4
1958
The \(q\)-series generalization of a formula of Sparre Andersen. Zbl 0098.24605
Gould, H. W.
4
1961
Extensions of the Hermite g.c.d. theorems for binomial coefficients. Zbl 0846.11004
Gould, H. W.; Schlesinger, Paula
3
1995
A set of polynomials associated with the higher derivatives of \(y=x^ x\). Zbl 0866.05007
Gould, H. W.
3
1996
The construction of orthogonal and quasi-orthogonal number sets. Zbl 0133.01505
Gould, H. W.
3
1965
Product difference Fibonacci identities of Simson, Gelin-Cesaro, Tagiuri and generalizations. Zbl 1092.11011
Fairgrieve, Steve; Gould, Henry W.
3
2005
The operator \((a^ x\Delta)^ n\) and Stirling numbers of the first kind. Zbl 0132.29101
Gould, H. W.
3
1964
Note on a paper of Klamkin concerning Stirling numbers. Zbl 0146.05007
Gould, H. W.
3
1961
Equal products of generalized binomial coefficients. Zbl 0229.05018
Gould, H. W.
3
1971
On certain sums of Stirling numbers with binomial coefficients. Zbl 1394.11017
Gould, H. W.; Kwong, Harris; Quaintance, Jocelyn
3
2015
Counting chains of subsets. Zbl 0618.05002
Gould, H. W.; Mays, M. E.
3
1987
New inverse series relations for finite and infinite series with applications. Zbl 0576.33002
Gould, H. W.
3
1984
Higher order extensions of Melzak’s formula. Zbl 1122.05004
Gould, H. W.
3
2007
Partial fraction expansions and a question of Bruckman. Zbl 1216.11022
Gould, H. W.; Quaintance, Jocelyn
2
2009
Note on two binomial coefficient identities of Rosenbaum. Zbl 0179.31802
Gould, H. W.
2
1969
The design of the four binomial identities: Moriarty intervenes. Zbl 0303.05005
Gould, H. W.
2
1974
Generalization of a formula of Touchard for Catalan numbers. Zbl 0401.05013
Gould, H. W.
2
1977
Annihilation coefficients. Zbl 1081.05506
Gould, Henry W.
2
2002
Evaluation of some classes of binomial identities and two new sets of polynomials. Zbl 1034.05002
Gould, H. W.; Wetweerapong, J.
2
1999
Sums and convolved sums of Catalan numbers and their generation functions. Zbl 1068.05007
Gould, H. W.
2
2004
Some relations involving the finite harmonic series. Zbl 0122.24707
Gould, H. W.
2
1961
Lattice point solution of the generalized problem of Terquem and an extension of Fibonacci numbers. Zbl 0161.01202
Church, C. A. jun.; Gould, H. W.
2
1967
The bracket function, \(q\)-binomial coefficients, and some new Stirling number formulas. Zbl 0199.08504
Gould, H. W.
2
1967
The generalized chain rule of differentiation with historical notes. Zbl 1004.26003
Gould, H. W.
2
2002
Bernoulli numbers and a new binomial transform identity. Zbl 1342.11030
Gould, H. W.; Quaintance, Jocelyn
2
2014
A Lucas triangle primality criterion dual to that of Mann-Shanks. Zbl 0552.10003
Gould, H. W.; Greig, W. E.
2
1985
Note on two binomial coefficient sums found by Riordan. Zbl 0109.24405
Gould, H. W.
2
1963
A binomial identity of Greenwood and Gleason. Zbl 0103.24904
Gould, H. W.
2
1961
Bell numbers and variant sequences derived from a general functional differential equation. Zbl 1234.11027
Gould, H. W.; Quaintance, Jocelyn
1
2009
A class of binomial sums and a series transform. Zbl 0805.05005
Gould, H. W.
1
1994
Generating functions for products of powers of Fibonacci numbers. Zbl 0147.02106
Gould, H. W.
1
1963
Note on a paper of Paul F. Byrd, and a solution of problem P-3. Zbl 0186.37503
Gould, H. W.
1
1968
A note on the number of linearly inducible orderings of points in d- space. Zbl 0279.05009
Gould, H. W.
1
1974
A rearrangement of series based on a partition of the natural numbers. Zbl 0362.10003
Gould, H. W.
1
1977
A Fibonacci formula of Lucas and its subsequent manifestations and rediscoveries. Zbl 0362.10008
Gould, H. W.
1
1977
Sums of logarithms of binomial coefficients. Zbl 0123.00201
Gould, H. W.
1
1964
Power sum identities for arbitrary symmetric arrays. Zbl 0188.03901
Gould, H. W.
1
1969
Noch einmal die Stirlingschen Zahlen. Bemerkungen zu Noten von Johannes Thomas und F. Klein-Barmen. (Once again Stirling numbers. Remarks to notes of Johannes Thomas and F. Klein-Barmen). Zbl 0221.05015
Gould, H. W.
1
1971
Evaluation of a class of binomial coefficient summations. Errata. Zbl 0231.05018
Gould, H. W.; Kaucký, Josef
1
1972
Functions of gcd’s and lcm’s. Zbl 0894.11001
Gould, H. W.; Shonhiwa, Temba
1
1997
A generalization of Cesàro’s function and other results. Zbl 0905.11003
Shonhiwa, Temba; Gould, H. W.
1
1997
Catalan numbers and the protean nature of binomial coefficient notation. Zbl 1314.05011
Gould, H. W.
1
2014
Special function inverse series pairs. Zbl 1203.33005
Alsardary, Salar Yaseen; Gould, Henry Wadsworth
1
2010
A note on combinatorial identities arising from the Lagrange-Waring interpolation formula. Zbl 1224.05034
Gould, H. W.
1
2008
Generalizations of Vosmansky’s identity. Zbl 1222.05007
Gould, H. W.; Quaintance, Jocelyn
1
2010
Remark on MacMahon’s identity for sums of cubes of binomial coefficients. Zbl 1221.05025
Carlitz, Leonard; Gould, Henry Wadsworth
1
2007
Operators, inverse series relations and other expansions connected with generalized Gould-Hopper polynomials. Zbl 1196.33008
Gould, H. W.; Quaintance, Jocelyn
1
2009
Curious special function identities. Zbl 1274.05027
Gould, H. W.
1
2007
The \(g\)-inverse and reverse-converse series inverse. Zbl 0587.05002
Gould, H. W.
1
1986
Note on a paper of Sparre Andersen. Zbl 0086.01204
Gould, H. W.
1
1958
Maclaurin’s second formula and its generalization. Zbl 0116.09203
Gould, H. W.; Squire, W.
1
1963
Some curious limits involving definite integrals. Zbl 0108.27004
Gould, H. W.; Chapman, T. A.
1
1962
Combinatorial identities for Stirling numbers. The unpublished notes of H. W. Gould. Zbl 1343.11002
Quaintance, Jocelyn
79
2016
On the binomial identities of Frisch and Klamkin. Zbl 1348.05028
Gould, H. W.; Quaintance, Jocelyn
4
2016
On certain sums of Stirling numbers with binomial coefficients. Zbl 1394.11017
Gould, H. W.; Kwong, Harris; Quaintance, Jocelyn
3
2015
Bernoulli numbers and a new binomial transform identity. Zbl 1342.11030
Gould, H. W.; Quaintance, Jocelyn
2
2014
Catalan numbers and the protean nature of binomial coefficient notation. Zbl 1314.05011
Gould, H. W.
1
2014
Characterization of \( (c)\)-Riordan arrays, Gegenbauer-Humbert-type polynomial sequences, and \( (c)\)-Bell polynomials. Zbl 1299.05005
Gould, Henry W.; He, Tianxiao
14
2013
Double fun with double factorials. Zbl 1260.05003
Gould, Henry; Quaintance, Jocelyn
13
2012
Special function inverse series pairs. Zbl 1203.33005
Alsardary, Salar Yaseen; Gould, Henry Wadsworth
1
2010
Generalizations of Vosmansky’s identity. Zbl 1222.05007
Gould, H. W.; Quaintance, Jocelyn
1
2010
Partial fraction expansions and a question of Bruckman. Zbl 1216.11022
Gould, H. W.; Quaintance, Jocelyn
2
2009
Bell numbers and variant sequences derived from a general functional differential equation. Zbl 1234.11027
Gould, H. W.; Quaintance, Jocelyn
1
2009
Operators, inverse series relations and other expansions connected with generalized Gould-Hopper polynomials. Zbl 1196.33008
Gould, H. W.; Quaintance, Jocelyn
1
2009
Implications of Spivey’s Bell number formula. Zbl 1204.11054
Gould, H. W.; Quaintance, Jocelyn
17
2008
A catalog of interesting Dirichlet series. Zbl 1143.11005
Gould, H. W.; Shonhiwa, Temba
6
2008
A note on combinatorial identities arising from the Lagrange-Waring interpolation formula. Zbl 1224.05034
Gould, H. W.
1
2008
A linear binomial recurrence and the Bell numbers and polynomials. Zbl 1204.05022
Gould, H. W.; Quaintance, Jocelyn
6
2007
Higher order extensions of Melzak’s formula. Zbl 1122.05004
Gould, H. W.
3
2007
Remark on MacMahon’s identity for sums of cubes of binomial coefficients. Zbl 1221.05025
Carlitz, Leonard; Gould, Henry Wadsworth
1
2007
Curious special function identities. Zbl 1274.05027
Gould, H. W.
1
2007
Product difference Fibonacci identities of Simson, Gelin-Cesaro, Tagiuri and generalizations. Zbl 1092.11011
Fairgrieve, Steve; Gould, Henry W.
3
2005
Sums and convolved sums of Catalan numbers and their generation functions. Zbl 1068.05007
Gould, H. W.
2
2004
Annihilation coefficients. Zbl 1081.05506
Gould, Henry W.
2
2002
The generalized chain rule of differentiation with historical notes. Zbl 1004.26003
Gould, H. W.
2
2002
The Girard-Waring power sum formulas for symmetric functions and Fibonacci sequences. Zbl 0944.05007
Gould, Henry W.
43
1999
Evaluation of some classes of binomial identities and two new sets of polynomials. Zbl 1034.05002
Gould, H. W.; Wetweerapong, J.
2
1999
Some combinatorial identities associated with the Vandermonde convolution. Zbl 0880.05008
Gould, H. W.; Srivastava, H. M.
9
1997
Functions of gcd’s and lcm’s. Zbl 0894.11001
Gould, H. W.; Shonhiwa, Temba
1
1997
A generalization of Cesàro’s function and other results. Zbl 0905.11003
Shonhiwa, Temba; Gould, H. W.
1
1997
A set of polynomials associated with the higher derivatives of \(y=x^ x\). Zbl 0866.05007
Gould, H. W.
3
1996
Extensions of the Hermite g.c.d. theorems for binomial coefficients. Zbl 0846.11004
Gould, H. W.; Schlesinger, Paula
3
1995
A class of binomial sums and a series transform. Zbl 0805.05005
Gould, H. W.
1
1994
Series transformations for finding recurrences for sequences. Zbl 0707.11012
Gould, H. W.
10
1990
Power product expansions. Zbl 0676.41030
Gingold, H.; Gould, H. W.; Mays, Michael E.
5
1988
Counting chains of subsets. Zbl 0618.05002
Gould, H. W.; Mays, M. E.
3
1987
The \(g\)-inverse and reverse-converse series inverse. Zbl 0587.05002
Gould, H. W.
1
1986
A Lucas triangle primality criterion dual to that of Mann-Shanks. Zbl 0552.10003
Gould, H. W.; Greig, W. E.
2
1985
Series expansions of means. Zbl 0582.41026
Gould, H. W.; Mays, M. E.
6
1984
New inverse series relations for finite and infinite series with applications. Zbl 0576.33002
Gould, H. W.
3
1984
A history of the Fibonacci Q-matrix and a higher-dimensional problem. Zbl 0467.10009
Gould, H. W.
29
1981
Euler’s formula for n-t differences of powers. Zbl 0397.10055
Gould, H. W.
24
1978
Evaluation of sums of convolved powers using Stirling and Eulerian numbers. Zbl 0392.05004
Gould, H. W.
8
1978
Generalization of a formula of Touchard for Catalan numbers. Zbl 0401.05013
Gould, H. W.
2
1977
A rearrangement of series based on a partition of the natural numbers. Zbl 0362.10003
Gould, H. W.
1
1977
A Fibonacci formula of Lucas and its subsequent manifestations and rediscoveries. Zbl 0362.10008
Gould, H. W.
1
1977
Research bibliography of two special number sequences. Rev. ed. Zbl 0327.10001
9
1976
Coefficient identities for powers of Taylor and Dirichlet series. Zbl 0293.41024
Gould, H. W.
42
1974
Generalization of Hermite’s divisibility theorems and the Mann-Shanks primality criterion for s-Fibonomial arrays. Zbl 0278.10013
Gould, H. W.
5
1974
The design of the four binomial identities: Moriarty intervenes. Zbl 0303.05005
Gould, H. W.
2
1974
A note on the number of linearly inducible orderings of points in d- space. Zbl 0279.05009
Gould, H. W.
1
1974
Sone new inverse series relations. Zbl 0281.05008
Gould, H. W.; Hsu, L. C.
56
1973
Some combinatorial identities: Comment on a paper of Srivastava. Zbl 0265.05003
Gould, H. W.
6
1973
Combinatorial identities. A standardized set of tables listing 500 binomial coefficient summations. Rev. ed. Zbl 0241.05011
Gould, Henry W.
202
1972
Some combinatorial identities of Bruckman - a systematic treatment with relation to the older literature. Zbl 0263.05013
Gould, H. W.
129
1972
Explicit formulas for Bernoulli numbers. Zbl 0227.10010
Gould, H. W.
59
1972
A new symmetrical combinatorial identity. Zbl 0257.05012
Gould, H. W.
9
1972
Two remarkable extensions of the Leibniz differentiation formula. Zbl 0327.26003
Gould, H. W.
5
1972
A new primality criterion of Mann and Shanks and its relation to a theorem of Hermite with extension to Fibonomials. Zbl 0251.10015
Gould, H. W.
4
1972
Evaluation of a class of binomial coefficient summations. Errata. Zbl 0231.05018
Gould, H. W.; Kaucký, Josef
1
1972
Research bibliography of two special number sequences. Zbl 0226.10002
14
1971
Equal products of generalized binomial coefficients. Zbl 0229.05018
Gould, H. W.
3
1971
Noch einmal die Stirlingschen Zahlen. Bemerkungen zu Noten von Johannes Thomas und F. Klein-Barmen. (Once again Stirling numbers. Remarks to notes of Johannes Thomas and F. Klein-Barmen). Zbl 0221.05015
Gould, H. W.
1
1971
The bracket function and Fontené-Ward generalized binomial coefficients with application to Fibonomial coefficients. Zbl 0191.32702
Gould, H. W.
21
1969
Note on two binomial coefficient identities of Rosenbaum. Zbl 0179.31802
Gould, H. W.
2
1969
Power sum identities for arbitrary symmetric arrays. Zbl 0188.03901
Gould, H. W.
1
1969
Note on a paper of Paul F. Byrd, and a solution of problem P-3. Zbl 0186.37503
Gould, H. W.
1
1968
Lattice point solution of the generalized problem of Terquem and an extension of Fibonacci numbers. Zbl 0161.01202
Church, C. A. jun.; Gould, H. W.
2
1967
The bracket function, \(q\)-binomial coefficients, and some new Stirling number formulas. Zbl 0199.08504
Gould, H. W.
2
1967
Evaluation of a class of binomial coefficient summations. Zbl 0145.01401
Gould, H. W.; Kaucký, Josef
10
1966
Note on recurrence relations for Stirling numbers. Zbl 0145.01403
Gould, H. W.
6
1966
Inverse series relations and other expansions involving Humbert polynomials. Zbl 0135.12001
Gould, H. W.
39
1965
An identity involving Stirling numbers. Zbl 0132.25104
Gould, H. W.
5
1965
The construction of orthogonal and quasi-orthogonal number sets. Zbl 0133.01505
Gould, H. W.
3
1965
Binomial coefficients, the bracket function, and compositions with relatively prime summands. Zbl 0129.02903
Gould, H. W.
6
1964
A new series transform with applications to Bessel, Legendre, and Tchebycheff polynomials. Zbl 0137.04003
Gould, H. W.
6
1964
The operator \((a^ x\Delta)^ n\) and Stirling numbers of the first kind. Zbl 0132.29101
Gould, H. W.
3
1964
Sums of logarithms of binomial coefficients. Zbl 0123.00201
Gould, H. W.
1
1964
Note on two binomial coefficient sums found by Riordan. Zbl 0109.24405
Gould, H. W.
2
1963
Generating functions for products of powers of Fibonacci numbers. Zbl 0147.02106
Gould, H. W.
1
1963
Maclaurin’s second formula and its generalization. Zbl 0116.09203
Gould, H. W.; Squire, W.
1
1963
Operational formulas connected with two generalizations of Hermite polynomials. Zbl 0108.06504
Gould, H. W.; Hopper, A. T.
188
1962
A new convolution formula and some new orthogonal relations for inversion of series. Zbl 0122.30502
Gould, H. W.
10
1962
Congruences involving sums of binomial coefficients and a formula of Jensen. Zbl 0114.01105
Gould, H. W.
5
1962
Some curious limits involving definite integrals. Zbl 0108.27004
Gould, H. W.; Chapman, T. A.
1
1962
The q-Stirling numbers of first and second kinds. Zbl 0201.33601
Gould, H. W.
82
1961
A series transformation for finding convolution identities. Zbl 0122.30501
Gould, H. W.
20
1961
The \(q\)-series generalization of a formula of Sparre Andersen. Zbl 0098.24605
Gould, H. W.
4
1961
Note on a paper of Klamkin concerning Stirling numbers. Zbl 0146.05007
Gould, H. W.
3
1961
Some relations involving the finite harmonic series. Zbl 0122.24707
Gould, H. W.
2
1961
A binomial identity of Greenwood and Gleason. Zbl 0103.24904
Gould, H. W.
2
1961
Stirling number representation problems. Zbl 0100.01704
Gould, H.
15
1960
Generalization of a theorem of Jensen concerning convolutions. Zbl 0101.28702
Gould, H. W.
7
1960
The Lagrange interpolation formula and Stirling numbers. Zbl 0102.04904
Gould, H. W.
5
1960
A theorem concerning the Bernstein polynomials. Zbl 0088.27301
Gould, H. W.
4
1958
Note on a paper of Sparre Andersen. Zbl 0086.01204
Gould, H. W.
1
1958
Final analysis of Vandermonde’s convolution. Zbl 0079.01005
Gould, H. W.
22
1957
Some generalizations of Vandermonde’s convolution. Zbl 0072.00702
Gould, H. W.
64
1956
all top 5

Cited by 1,222 Authors

55 Chu, Wenchang
37 Srivastava, Hari Mohan
22 Sun, Zhi-Wei
20 Khan, Subuhi
20 Simsek, Yilmaz
17 Dilcher, Karl
17 He, Tian-Xiao
16 Hsu, Leetsch Charles
15 Shiue, Peter Jau-Shyong
14 Ricci, Paolo Emilio
14 Yasmin, Ghazala
13 Kim, Taekyun
12 Mao, Guo-Shuai
11 Kim, Dae San
10 Gould, Henry Wadsworth
10 Kilic, Emrah
10 Rașa, Ioan
10 Sun, Zhihong
9 Cesarano, Clemente
9 Charalambides, Charalambos A.
9 Dattoli, Giuseppe
8 Ben Cheikh, Youssèf
8 Chen, Xiaojing
8 Li, Nadia Na
8 Prodinger, Helmut
8 Raza, Nusrat
8 Wang, Weiping
8 Zeng, Jiang
7 Ben Romdhane, Neila
7 Chaggara, Hamza
7 Kucukoglu, Irem
6 Acu, Ana Maria
6 Guo, Victor J. W.
6 Lamiri, Imed
6 Luo, Qiuming
6 Ma, Xinrong
6 Mansour, Toufik
6 Merlini, Donatella
6 Pita-Ruiz, Claudio
6 Qi, Feng
6 Ramírez, José Luis
6 Sprugnoli, Renzo
6 Srivastava, Rekha
6 Todorov, Pavel Georgiev
6 Zhukovsky, K. V.
5 Bencherif, Farid
5 Boyadzhiev, Khristo N.
5 Chatterjea, Santi Kumar
5 Chen, Chaoping
5 Choi, Junesang
5 Dalfó, Cristina
5 Falcon, Sergio
5 Fiol, Miquel Angel
5 Gessel, Ira Martin
5 Komatsu, Takao
5 Krattenthaler, Christian Friedrich
5 Mangontarum, Mahid M.
5 Plaza, Ángel
5 Proietti, Tommaso
5 Riyasat, Mumtaz
5 Sagan, Bruce Eli
5 Shapiro, Louis W.
5 Soykan, Yüksel
5 Wang, Chen
5 Zhang, Zhizheng
4 Agoh, Takashi
4 Aktaş, Rabia
4 Al-Gonah, Ahmed Ali
4 Alzer, Horst
4 Araci, Serkan
4 Belbachir, Hacene
4 Bhatnagar, Gaurav
4 El-Desouky, Beih S.
4 Gerhold, Stefan
4 Gingold, Harry
4 Heilmann, Margareta
4 Ịçöz, Gürhan
4 Islahi, Hibah
4 Khan, Nabiullah U.
4 Khan, Waseem Ahmad
4 Koparal, Sibel
4 Lettington, Matthew C.
4 Milne, Stephen C.
4 Omur, Nese
4 Ouni, Abdelwaheb
4 Ozarslan, Mehmet Ali
4 Pathan, Mahmood Ahmad
4 Quaintance, Jocelyn
4 Remmel, Jeffrey Brian
4 Simion, Rodica E.
4 Sun, Yidong
4 Trojovský, Pavel
4 Usman, Talha
4 Wani, Shahid Ahmad
4 White, Dennis E.
4 Xu, Aimin
3 Abel, Ulrich
3 Agarwal, Praveen
3 Ahmad, Naeem
3 Ali, Mahvish
...and 1,122 more Authors
all top 5

Cited in 328 Serials

81 Discrete Mathematics
59 Journal of Mathematical Analysis and Applications
34 Journal of Combinatorial Theory. Series A
29 Journal of Integer Sequences
28 Applied Mathematics and Computation
28 Integral Transforms and Special Functions
28 The Ramanujan Journal
27 Integers
23 Journal of Number Theory
22 Linear Algebra and its Applications
21 Journal of Computational and Applied Mathematics
19 Proceedings of the American Mathematical Society
16 Advances in Applied Mathematics
16 International Journal of Number Theory
15 Journal of Statistical Planning and Inference
15 European Journal of Combinatorics
14 Rocky Mountain Journal of Mathematics
13 Advances in Difference Equations
11 Computers & Mathematics with Applications
11 Discrete Applied Mathematics
11 Chaos, Solitons and Fractals
9 Transactions of the American Mathematical Society
9 The Electronic Journal of Combinatorics
9 Applicable Analysis and Discrete Mathematics
8 Rendiconti del Circolo Matemàtico di Palermo. Serie II
8 Results in Mathematics
8 Mathematical and Computer Modelling
7 Journal of Mathematical Physics
7 Advances in Mathematics
7 International Journal of Mathematics and Mathematical Sciences
7 Applied Mathematics Letters
7 Aequationes Mathematicae
7 Tbilisi Mathematical Journal
7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
6 Mathematical Methods in the Applied Sciences
6 Journal of Approximation Theory
6 Rendiconti del Seminario Matematico della Università di Padova
6 Journal of Algebraic Combinatorics
6 Turkish Journal of Mathematics
6 Mediterranean Journal of Mathematics
5 International Journal of Mathematical Education in Science and Technology
5 Indian Journal of Pure & Applied Mathematics
5 Mathematical Notes
5 Mathematics of Computation
5 Graphs and Combinatorics
5 Numerical Algorithms
5 Communications in Statistics. Theory and Methods
5 Journal of Difference Equations and Applications
5 Abstract and Applied Analysis
5 Journal of Inequalities and Applications
5 International Journal of Advances in Applied Mathematics and Mechanics
4 Israel Journal of Mathematics
4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
4 Annals of the Institute of Statistical Mathematics
4 Quaestiones Mathematicae
4 Studies in Applied Mathematics
4 Insurance Mathematics & Economics
4 SIAM Journal on Algebraic and Discrete Methods
4 Acta Mathematica Hungarica
4 Filomat
4 Journal of Discrete Mathematical Sciences & Cryptography
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Hacettepe Journal of Mathematics and Statistics
4 Contributions to Discrete Mathematics
4 Electronic Research Archive
3 American Mathematical Monthly
3 Bulletin of the Australian Mathematical Society
3 Communications in Algebra
3 Lithuanian Mathematical Journal
3 Ukrainian Mathematical Journal
3 Archiv der Mathematik
3 Compositio Mathematica
3 Fuzzy Sets and Systems
3 Journal of Algebra
3 Mathematica Slovaca
3 Monatshefte für Mathematik
3 Numerical Functional Analysis and Optimization
3 Numerische Mathematik
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Journal of Symbolic Computation
3 The Australasian Journal of Combinatorics
3 Russian Journal of Mathematical Physics
3 Annals of Combinatorics
3 Analysis (München)
3 The College Mathematics Journal
3 Science China. Mathematics
3 Analysis and Mathematical Physics
3 Afrika Matematika
3 Communications in Mathematics
3 Palestine Journal of Mathematics
3 Research in Number Theory
3 Enumerative Combinatorics and Applications
2 Acta Mathematica Academiae Scientiarum Hungaricae
2 International Journal of Theoretical Physics
2 The Mathematical Gazette
2 Matimyás Matematika
2 Periodica Mathematica Hungarica
2 Physica A
2 Physics Letters. A
...and 228 more Serials
all top 5

Cited in 57 Fields

552 Combinatorics (05-XX)
526 Number theory (11-XX)
320 Special functions (33-XX)
69 Probability theory and stochastic processes (60-XX)
61 Linear and multilinear algebra; matrix theory (15-XX)
55 Approximations and expansions (41-XX)
50 Statistics (62-XX)
46 Functions of a complex variable (30-XX)
44 Numerical analysis (65-XX)
39 Real functions (26-XX)
39 Harmonic analysis on Euclidean spaces (42-XX)
30 Ordinary differential equations (34-XX)
30 Information and communication theory, circuits (94-XX)
27 Computer science (68-XX)
26 Difference and functional equations (39-XX)
24 Group theory and generalizations (20-XX)
24 Partial differential equations (35-XX)
20 Commutative algebra (13-XX)
15 Sequences, series, summability (40-XX)
13 Integral transforms, operational calculus (44-XX)
13 Quantum theory (81-XX)
11 Order, lattices, ordered algebraic structures (06-XX)
10 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9 Statistical mechanics, structure of matter (82-XX)
8 Algebraic geometry (14-XX)
7 Associative rings and algebras (16-XX)
7 Nonassociative rings and algebras (17-XX)
7 Operator theory (47-XX)
7 Manifolds and cell complexes (57-XX)
7 Operations research, mathematical programming (90-XX)
6 Geometry (51-XX)
6 Convex and discrete geometry (52-XX)
6 Mathematics education (97-XX)
5 Field theory and polynomials (12-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Integral equations (45-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Functional analysis (46-XX)
4 Algebraic topology (55-XX)
3 Category theory; homological algebra (18-XX)
3 Topological groups, Lie groups (22-XX)
3 Systems theory; control (93-XX)
2 Measure and integration (28-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Mechanics of deformable solids (74-XX)
2 Biology and other natural sciences (92-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 General algebraic systems (08-XX)
1 Abstract harmonic analysis (43-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of particles and systems (70-XX)
1 Optics, electromagnetic theory (78-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year

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