# zbMATH — the first resource for mathematics

Compute Distance To:
 Author ID: gould.henry-wadsworth Published as: Gould, H.; Gould, H. W.; Gould, Henry; Gould, Henry W.; Gould, Henry Wadsworth External Links: MGP · Wikidata · GND
 Documents Indexed: 161 Publications since 1954, including 3 Books Reviewing Activity: 4 Reviews Biographic References: 3 Publications
all top 5

#### Co-Authors

 118 single-authored 17 Quaintance, Jocelyn 3 Mays, Michael E. 3 Shonhiwa, Temba 2 Carlitz, Leonard 2 Kaucký, Josef 1 Alsardary, Salar Yaseen Taha 1 Brawley, Joel Vincent jun. 1 Brillhart, John 1 Chapman, Thomas Ashland 1 Church, C. A. jun. 1 Cochran, C. N. 1 Fairgrieve, Steve 1 Gingold, Henry 1 Greig, W. Elliott 1 He, Tianxiao 1 Hoggatt, Verner E. jun. 1 Hopper, A. T. 1 Hsu, Leetsch Charles 1 Kerr, W. Y. 1 Kim, Jin-Baek 1 Kwong, Harris 1 Schlesinger, Paula 1 Squire, William 1 Srivastava, Hari Mohan 1 Wetweerapong, Jeerayut
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 Iaşi. Secţia 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
all top 5

#### Fields

 80 Combinatorics (05-XX) 73 Number theory (11-XX) 19 Special functions (33-XX) 6 Approximations and expansions (41-XX) 5 History and biography (01-XX) 4 Real functions (26-XX) 3 Sequences, series, summability (40-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 2 Operator theory (47-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH

86 Publications have been cited 1,002 times in 841 Documents Cited by Year
Operational formulas connected with two generalizations of Hermite polynomials. Zbl 0108.06504
Gould, H. W.; Hopper, A. T.
1962
Some combinatorial identities of Bruckman - a systematic treatment with relation to the older literature. Zbl 0263.05013
Gould, H. W.
1972
Combinatorial identities. A standardized set of tables listing 500 binomial coefficient summations. Rev. ed. Zbl 0241.05011
Gould, Henry W.
1972
The q-Stirling numbers of first and second kinds. Zbl 0201.33601
Gould, H. W.
1961
Some generalizations of Vandermonde’s convolution. Zbl 0072.00702
Gould, H. W.
1956
Sone new inverse series relations. Zbl 0281.05008
Gould, H. W.; Hsu, L. C.
1973
Explicit formulas for Bernoulli numbers. Zbl 0227.10010
Gould, H. W.
1972
Coefficient identities for powers of Taylor and Dirichlet series. Zbl 0293.41024
Gould, H. W.
1974
Inverse series relations and other expansions involving Humbert polynomials. Zbl 0135.12001
Gould, H. W.
1965
The Girard-Waring power sum formulas for symmetric functions and Fibonacci sequences. Zbl 0944.05007
Gould, Henry W.
1999
A series transformation for finding convolution identities. Zbl 0122.30501
Gould, H. W.
1961
Final analysis of Vandermonde’s convolution. Zbl 0079.01005
Gould, H. W.
1957
The bracket function and Fontené-Ward generalized binomial coefficients with application to Fibonomial coefficients. Zbl 0191.32702
Gould, H. W.
1969
A history of the Fibonacci Q-matrix and a higher-dimensional problem. Zbl 0467.10009
Gould, H. W.
1981
Euler’s formula for n-t differences of powers. Zbl 0397.10055
Gould, H. W.
1978
Research bibliography of two special number sequences. Zbl 0226.10002
Gould, H. W. (ed.)
1971
Implications of Spivey’s Bell number formula. Zbl 1204.11054
Gould, H. W.; Quaintance, Jocelyn
2008
Stirling number representation problems. Zbl 0100.01704
Gould, H.
1960
Research bibliography of two special number sequences. Rev. ed. Zbl 0327.10001
Gould, H. W. (ed.)
1976
Evaluation of a class of binomial coefficient summations. Zbl 0145.01401
Gould, H. W.; Kaucký, Josef
1966
Characterization of $$(c)$$-Riordan arrays, Gegenbauer-Humbert-type polynomial sequences, and $$(c)$$-Bell polynomials. Zbl 1299.05005
Gould, Henry W.; He, Tianxiao
2013
A new symmetrical combinatorial identity. Zbl 0257.05012
Gould, H. W.
1972
A new convolution formula and some new orthogonal relations for inversion of series. Zbl 0122.30502
Gould, H. W.
1962
Double fun with double factorials. Zbl 1260.05003
Gould, Henry; Quaintance, Jocelyn
2012
Some combinatorial identities associated with the Vandermonde convolution. Zbl 0880.05008
Gould, H. W.; Srivastava, H. M.
1997
Note on recurrence relations for Stirling numbers. Zbl 0145.01403
Gould, H. W.
1966
The generalized chain rule of differentiation with historical notes. Zbl 1004.26003
Gould, H. W.
2002
Series expansions of means. Zbl 0582.41026
Gould, H. W.; Mays, M. E.
1984
Generalization of Hermite’s divisibility theorems and the Mann-Shanks primality criterion for s-Fibonomial arrays. Zbl 0278.10013
Gould, H. W.
1974
An identity involving Stirling numbers. Zbl 0132.25104
Gould, H. W.
1965
Binomial coefficients, the bracket function, and compositions with relatively prime summands. Zbl 0129.02903
Gould, H. W.
1964
Congruences involving sums of binomial coefficients and a formula of Jensen. Zbl 0114.01105
Gould, H. W.
1962
The Lagrange interpolation formula and Stirling numbers. Zbl 0102.04904
Gould, H. W.
1960
Generalization of a theorem of Jensen concerning convolutions. Zbl 0101.28702
Gould, H. W.
1960
On the binomial identities of Frisch and Klamkin. Zbl 1348.05028
Gould, H. W.; Quaintance, Jocelyn
2016
A linear binomial recurrence and the Bell numbers and polynomials. Zbl 1204.05022
Gould, H. W.; Quaintance, Joselyn
2007
Some combinatorial identities: Comment on a paper of Srivastava. Zbl 0265.05003
Gould, H. W.
1973
Two remarkable extensions of the Leibniz differentiation formula. Zbl 0327.26003
Gould, H. W.
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.
1972
A new series transform with applications to Bessel, Legendre, and Tchebycheff polynomials. Zbl 0137.04003
Gould, H. W.
1964
A theorem concerning the Bernstein polynomials. Zbl 0088.27301
Gould, H. W.
1958
A catalog of interesting Dirichlet series. Zbl 1143.11005
Gould, H. W.; Shonhiwa, Temba
2008
Counting chains of subsets. Zbl 0618.05002
Gould, H. W.; Mays, M. E.
1987
Generalization of a formula of Touchard for Catalan numbers. Zbl 0401.05013
Gould, H. W.
1977
Equal products of generalized binomial coefficients. Zbl 0229.05018
Gould, H. W.
1971
The construction of orthogonal and quasi-orthogonal number sets. Zbl 0133.01505
Gould, H. W.
1965
The operator $$(a^ x\Delta)^ n$$ and Stirling numbers of the first kind. Zbl 0132.29101
Gould, H. W.
1964
Note on a paper of Klamkin concerning Stirling numbers. Zbl 0146.05007
Gould, H. W.
1961
A binomial identity of Greenwood and Gleason. Zbl 0103.24904
Gould, H. W.
1961
The $$q$$-series generalization of a formula of Sparre Andersen. Zbl 0098.24605
Gould, H. W.
1961
Higher order extensions of Melzak’s formula. Zbl 1122.05004
Gould, H. W.
2007
Annihilation coefficients. Zbl 1081.05506
Gould, Henry W.
2002
Evaluation of some classes of binomial identities and two new sets of polynomials. Zbl 1034.05002
Gould, H. W.; Wetweerapong, J.
1999
A set of polynomials associated with the higher derivatives of $$y=x^ x$$. Zbl 0866.05007
Gould, H. W.
1996
Extensions of the Hermite g.c.d. theorems for binomial coefficients. Zbl 0846.11004
Gould, H. W.; Schlesinger, Paula
1995
Series transformations for finding recurrences for sequences. Zbl 0707.11012
Gould, H. W.
1990
Power product expansions. Zbl 0676.41030
Gingold, H.; Gould, H. W.; Mays, Michael E.
1988
A Lucas triangle primality criterion dual to that of Mann-Shanks. Zbl 0552.10003
Gould, H. W.; Greig, W. E.
1985
New inverse series relations for finite and infinite series with applications. Zbl 0576.33002
Gould, H. W.
1984
The design of the four binomial identities: Moriarty intervenes. Zbl 0303.05005
Gould, H. W.
1974
Note on two binomial coefficient identities of Rosenbaum. Zbl 0179.31802
Gould, H. W.
1969
The bracket function, $$q$$-binomial coefficients, and some new Stirling number formulas. Zbl 0199.08504
Gould, H. W.
1967
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.
1967
Note on two binomial coefficient sums found by Riordan. Zbl 0109.24405
Gould, H. W.
1963
Some relations involving the finite harmonic series. Zbl 0122.24707
Gould, H. W.
1961
On certain sums of Stirling numbers with binomial coefficients. Zbl 1394.11017
Gould, H. W.; Kwong, Harris; Quaintance, Jocelyn
2015
Catalan numbers and the protean nature of binomial coefficient notation. Zbl 1314.05011
Gould, H. W.
2014
Bernoulli numbers and a new binomial transform identity. Zbl 1342.11030
Gould, H. W.; Quaintance, Jocelyn
2014
Operators, inverse series relations and other expansions connected with generalized Gould-Hopper polynomials. Zbl 1196.33008
Gould, H. W.; Quaintance, Jocelyn
2009
Partial fraction expansions and a question of Bruckman. Zbl 1216.11022
Gould, H. W.; Quaintance, Jocelyn
2009
Product difference Fibonacci identities of Simson, Gelin-Cesaro, Tagiuri and generalizations. Zbl 1092.11011
Fairgrieve, Steve; Gould, Henry W.
2005
Sums and convolved sums of Catalan numbers and their generation functions. Zbl 1068.05007
Gould, H. W.
2004
A generalization of Cesàro’s function and other results. Zbl 0905.11003
Shonhiwa, Temba; Gould, H. W.
1997
Functions of gcd’s and lcm’s. Zbl 0894.11001
Gould, H. W.; Shonhiwa, Temba
1997
The $$g$$-inverse and reverse-converse series inverse. Zbl 0587.05002
Gould, H. W.
1986
Evaluation of sums of convolved powers using Stirling and Eulerian numbers. Zbl 0392.05004
Gould, H. W.
1978
A Fibonacci formula of Lucas and its subsequent manifestations and rediscoveries. Zbl 0362.10008
Gould, H. W.
1977
Formal proof of equivalence of two solutions of the general Pascal recurrence. Zbl 0298.10008
Gould, Henry W.
1975
A note on the number of linearly inducible orderings of points in d- space. Zbl 0279.05009
Gould, H. W.
1974
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.
1971
Power sum identities for arbitrary symmetric arrays. Zbl 0188.03901
Gould, H. W.
1969
Note on a paper of Paul F. Byrd, and a solution of problem P-3. Zbl 0186.37503
Gould, H. W.
1968
Sums of logarithms of binomial coefficients. Zbl 0123.00201
Gould, H. W.
1964
Maclaurin’s second formula and its generalization. Zbl 0116.09203
Gould, H. W.; Squire, W.
1963
Some curious limits involving definite integrals. Zbl 0108.27004
Gould, H. W.; Chapman, T. A.
1962
Note on a paper of Sparre Andersen. Zbl 0086.01204
Gould, H. W.
1958
On the binomial identities of Frisch and Klamkin. Zbl 1348.05028
Gould, H. W.; Quaintance, Jocelyn
2016
On certain sums of Stirling numbers with binomial coefficients. Zbl 1394.11017
Gould, H. W.; Kwong, Harris; Quaintance, Jocelyn
2015
Catalan numbers and the protean nature of binomial coefficient notation. Zbl 1314.05011
Gould, H. W.
2014
Bernoulli numbers and a new binomial transform identity. Zbl 1342.11030
Gould, H. W.; Quaintance, Jocelyn
2014
Characterization of $$(c)$$-Riordan arrays, Gegenbauer-Humbert-type polynomial sequences, and $$(c)$$-Bell polynomials. Zbl 1299.05005
Gould, Henry W.; He, Tianxiao
2013
Double fun with double factorials. Zbl 1260.05003
Gould, Henry; Quaintance, Jocelyn
2012
Operators, inverse series relations and other expansions connected with generalized Gould-Hopper polynomials. Zbl 1196.33008
Gould, H. W.; Quaintance, Jocelyn
2009
Partial fraction expansions and a question of Bruckman. Zbl 1216.11022
Gould, H. W.; Quaintance, Jocelyn
2009
Implications of Spivey’s Bell number formula. Zbl 1204.11054
Gould, H. W.; Quaintance, Jocelyn
2008
A catalog of interesting Dirichlet series. Zbl 1143.11005
Gould, H. W.; Shonhiwa, Temba
2008
A linear binomial recurrence and the Bell numbers and polynomials. Zbl 1204.05022
Gould, H. W.; Quaintance, Joselyn
2007
Higher order extensions of Melzak’s formula. Zbl 1122.05004
Gould, H. W.
2007
Product difference Fibonacci identities of Simson, Gelin-Cesaro, Tagiuri and generalizations. Zbl 1092.11011
Fairgrieve, Steve; Gould, Henry W.
2005
Sums and convolved sums of Catalan numbers and their generation functions. Zbl 1068.05007
Gould, H. W.
2004
The generalized chain rule of differentiation with historical notes. Zbl 1004.26003
Gould, H. W.
2002
Annihilation coefficients. Zbl 1081.05506
Gould, Henry W.
2002
The Girard-Waring power sum formulas for symmetric functions and Fibonacci sequences. Zbl 0944.05007
Gould, Henry W.
1999
Evaluation of some classes of binomial identities and two new sets of polynomials. Zbl 1034.05002
Gould, H. W.; Wetweerapong, J.
1999
Some combinatorial identities associated with the Vandermonde convolution. Zbl 0880.05008
Gould, H. W.; Srivastava, H. M.
1997
A generalization of Cesàro’s function and other results. Zbl 0905.11003
Shonhiwa, Temba; Gould, H. W.
1997
Functions of gcd’s and lcm’s. Zbl 0894.11001
Gould, H. W.; Shonhiwa, Temba
1997
A set of polynomials associated with the higher derivatives of $$y=x^ x$$. Zbl 0866.05007
Gould, H. W.
1996
Extensions of the Hermite g.c.d. theorems for binomial coefficients. Zbl 0846.11004
Gould, H. W.; Schlesinger, Paula
1995
Series transformations for finding recurrences for sequences. Zbl 0707.11012
Gould, H. W.
1990
Power product expansions. Zbl 0676.41030
Gingold, H.; Gould, H. W.; Mays, Michael E.
1988
Counting chains of subsets. Zbl 0618.05002
Gould, H. W.; Mays, M. E.
1987
The $$g$$-inverse and reverse-converse series inverse. Zbl 0587.05002
Gould, H. W.
1986
A Lucas triangle primality criterion dual to that of Mann-Shanks. Zbl 0552.10003
Gould, H. W.; Greig, W. E.
1985
Series expansions of means. Zbl 0582.41026
Gould, H. W.; Mays, M. E.
1984
New inverse series relations for finite and infinite series with applications. Zbl 0576.33002
Gould, H. W.
1984
A history of the Fibonacci Q-matrix and a higher-dimensional problem. Zbl 0467.10009
Gould, H. W.
1981
Euler’s formula for n-t differences of powers. Zbl 0397.10055
Gould, H. W.
1978
Evaluation of sums of convolved powers using Stirling and Eulerian numbers. Zbl 0392.05004
Gould, H. W.
1978
Generalization of a formula of Touchard for Catalan numbers. Zbl 0401.05013
Gould, H. W.
1977
A Fibonacci formula of Lucas and its subsequent manifestations and rediscoveries. Zbl 0362.10008
Gould, H. W.
1977
Research bibliography of two special number sequences. Rev. ed. Zbl 0327.10001
Gould, H. W. (ed.)
1976
Formal proof of equivalence of two solutions of the general Pascal recurrence. Zbl 0298.10008
Gould, Henry W.
1975
Coefficient identities for powers of Taylor and Dirichlet series. Zbl 0293.41024
Gould, H. W.
1974
Generalization of Hermite’s divisibility theorems and the Mann-Shanks primality criterion for s-Fibonomial arrays. Zbl 0278.10013
Gould, H. W.
1974
The design of the four binomial identities: Moriarty intervenes. Zbl 0303.05005
Gould, H. W.
1974
A note on the number of linearly inducible orderings of points in d- space. Zbl 0279.05009
Gould, H. W.
1974
Sone new inverse series relations. Zbl 0281.05008
Gould, H. W.; Hsu, L. C.
1973
Some combinatorial identities: Comment on a paper of Srivastava. Zbl 0265.05003
Gould, H. W.
1973
Some combinatorial identities of Bruckman - a systematic treatment with relation to the older literature. Zbl 0263.05013
Gould, H. W.
1972
Combinatorial identities. A standardized set of tables listing 500 binomial coefficient summations. Rev. ed. Zbl 0241.05011
Gould, Henry W.
1972
Explicit formulas for Bernoulli numbers. Zbl 0227.10010
Gould, H. W.
1972
A new symmetrical combinatorial identity. Zbl 0257.05012
Gould, H. W.
1972
Two remarkable extensions of the Leibniz differentiation formula. Zbl 0327.26003
Gould, H. W.
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.
1972
Research bibliography of two special number sequences. Zbl 0226.10002
Gould, H. W. (ed.)
1971
Equal products of generalized binomial coefficients. Zbl 0229.05018
Gould, H. W.
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.
1971
The bracket function and Fontené-Ward generalized binomial coefficients with application to Fibonomial coefficients. Zbl 0191.32702
Gould, H. W.
1969
Note on two binomial coefficient identities of Rosenbaum. Zbl 0179.31802
Gould, H. W.
1969
Power sum identities for arbitrary symmetric arrays. Zbl 0188.03901
Gould, H. W.
1969
Note on a paper of Paul F. Byrd, and a solution of problem P-3. Zbl 0186.37503
Gould, H. W.
1968
The bracket function, $$q$$-binomial coefficients, and some new Stirling number formulas. Zbl 0199.08504
Gould, H. W.
1967
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.
1967
Evaluation of a class of binomial coefficient summations. Zbl 0145.01401
Gould, H. W.; Kaucký, Josef
1966
Note on recurrence relations for Stirling numbers. Zbl 0145.01403
Gould, H. W.
1966
Inverse series relations and other expansions involving Humbert polynomials. Zbl 0135.12001
Gould, H. W.
1965
An identity involving Stirling numbers. Zbl 0132.25104
Gould, H. W.
1965
The construction of orthogonal and quasi-orthogonal number sets. Zbl 0133.01505
Gould, H. W.
1965
Binomial coefficients, the bracket function, and compositions with relatively prime summands. Zbl 0129.02903
Gould, H. W.
1964
A new series transform with applications to Bessel, Legendre, and Tchebycheff polynomials. Zbl 0137.04003
Gould, H. W.
1964
The operator $$(a^ x\Delta)^ n$$ and Stirling numbers of the first kind. Zbl 0132.29101
Gould, H. W.
1964
Sums of logarithms of binomial coefficients. Zbl 0123.00201
Gould, H. W.
1964
Note on two binomial coefficient sums found by Riordan. Zbl 0109.24405
Gould, H. W.
1963
Maclaurin’s second formula and its generalization. Zbl 0116.09203
Gould, H. W.; Squire, W.
1963
Operational formulas connected with two generalizations of Hermite polynomials. Zbl 0108.06504
Gould, H. W.; Hopper, A. T.
1962
A new convolution formula and some new orthogonal relations for inversion of series. Zbl 0122.30502
Gould, H. W.
1962
Congruences involving sums of binomial coefficients and a formula of Jensen. Zbl 0114.01105
Gould, H. W.
1962
Some curious limits involving definite integrals. Zbl 0108.27004
Gould, H. W.; Chapman, T. A.
1962
The q-Stirling numbers of first and second kinds. Zbl 0201.33601
Gould, H. W.
1961
A series transformation for finding convolution identities. Zbl 0122.30501
Gould, H. W.
1961
Note on a paper of Klamkin concerning Stirling numbers. Zbl 0146.05007
Gould, H. W.
1961
A binomial identity of Greenwood and Gleason. Zbl 0103.24904
Gould, H. W.
1961
The $$q$$-series generalization of a formula of Sparre Andersen. Zbl 0098.24605
Gould, H. W.
1961
Some relations involving the finite harmonic series. Zbl 0122.24707
Gould, H. W.
1961
Stirling number representation problems. Zbl 0100.01704
Gould, H.
1960
The Lagrange interpolation formula and Stirling numbers. Zbl 0102.04904
Gould, H. W.
1960
Generalization of a theorem of Jensen concerning convolutions. Zbl 0101.28702
Gould, H. W.
1960
A theorem concerning the Bernstein polynomials. Zbl 0088.27301
Gould, H. W.
1958
Note on a paper of Sparre Andersen. Zbl 0086.01204
Gould, H. W.
1958
Final analysis of Vandermonde’s convolution. Zbl 0079.01005
Gould, H. W.
1957
Some generalizations of Vandermonde’s convolution. Zbl 0072.00702
Gould, H. W.
1956
all top 5

#### Cited by 905 Authors

 39 Chu, Wenchang 35 Srivastava, Hari Mohan 19 Khan, Subuhi 16 Sun, Zhi-Wei 15 Hsu, Leetsch Charles 14 Ricci, Paolo Emilio 13 Shiue, Peter Jau-Shyong 12 Dilcher, Karl 11 Yasmin, Ghazala 10 Gould, Henry Wadsworth 10 He, Tianxiao 9 Ben Cheikh, Youssèf 9 Charalambides, Charalambos A. 9 Dattoli, Giuseppe 9 Kim, Taekyun 9 Simsek, Yilmaz 9 Sun, Zhihong 8 Kim, Dae San 8 Wang, Weiping 8 Zeng, Jiang 7 Cesarano, Clemente 7 Kilic, Emrah 7 Li, Nadia Na 6 Chaggara, Hamza 6 Chen, Xiaojing 6 Guo, Victor J. W. 6 Merlini, Donatella 6 Qi, Feng 6 Sprugnoli, Renzo 6 Todorov, Pavel Georgiev 6 Zhukovsky, K. V. 5 Ben Romdhane, Neila 5 Chatterjea, Santi Kumar 5 Falcon, Sergio 5 Gessel, Ira Martin 5 Krattenthaler, Christian Friedrich 5 Lamiri, Imed 5 Plaza, Ángel 5 Proietti, Tommaso 5 Rasa, Ioan 5 Srivastava, Rekha 4 Al-Gonah, Ahmed Ali 4 Chen, Chaoping 4 Gerhold, Stefan 4 Luo, Qiuming 4 Ma, Xinrong 4 Mao, Guo-Shuai 4 Milne, Stephen C. 4 Ouni, Abdelwaheb 4 Raza, Nusrat 4 Remmel, Jeffrey B. 4 Riyasat, Mumtaz 4 Sagan, Bruce Eli 4 Shapiro, Louis W. 4 Simion, Rodica E. 4 Trojovský, Pavel 4 White, Dennis E. 4 Xu, Aimin 3 Agoh, Takashi 3 Ahmad, Naeem 3 Aktaş, Rabia 3 Ali, Mahvish 3 Bencherif, Farid 3 Blagouchine, Iaroslav V. 3 Boyadzhiev, Khristo N. 3 Butzer, Paul Leo 3 Choi, Junesang 3 Dalfó, Cristina 3 Đorđević, Gospava B. 3 Farouki, Rida T. 3 Fiol, Miquel Angel 3 Germano, Bruna 3 Heilmann, Margareta 3 Jha, Sumit Kumar 3 Johnson, Warren P. 3 Josuat-Vergès, Matthieu 3 Khan, Nabiullah U. 3 Lin, Shyder 3 Lu, Daqian 3 Luati, Alessandra 3 Luzón, Ana 3 Mangontarum, Mahid M. 3 Mansour, Toufik 3 Mbarki, Radhouan 3 Mihoubi, Miloud 3 Milovanović, Gradimir V. 3 Moron, Manuel Alonso 3 Olive, Gloria 3 Prodinger, Helmut 3 Ramírez, José Luis 3 Rawlings, Don 3 Rota, Gian-Carlo 3 Singhal, J. P. 3 Stanton, Dennis W. 3 Sun, Yidong 3 Tang, Peipei 3 Tauraso, Roberto 3 Torre, Amalia 3 Úbeda-Flores, Manuel 3 Usman, Talha ...and 805 more Authors
all top 5

#### Cited in 242 Serials

 78 Discrete Mathematics 55 Journal of Mathematical Analysis and Applications 31 Journal of Combinatorial Theory. Series A 28 Applied Mathematics and Computation 23 Journal of Number Theory 23 Integral Transforms and Special Functions 22 The Ramanujan Journal 20 Journal of Computational and Applied Mathematics 19 Linear Algebra and its Applications 16 Proceedings of the American Mathematical Society 15 Journal of Statistical Planning and Inference 15 Advances in Applied Mathematics 13 European Journal of Combinatorics 13 Journal of Integer Sequences 12 Integers 10 Computers & Mathematics with Applications 9 Discrete Applied Mathematics 9 Rocky Mountain Journal of Mathematics 9 Chaos, Solitons and Fractals 9 Transactions of the American Mathematical Society 9 International Journal of Number Theory 8 Mathematical and Computer Modelling 7 Applied Mathematics Letters 7 Advances in Difference Equations 6 Journal of Mathematical Physics 6 Advances in Mathematics 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 Rendiconti del Seminario Matematico della Università di Padova 5 Mathematics of Computation 5 International Journal of Mathematics and Mathematical Sciences 5 Journal of Approximation Theory 5 Abstract and Applied Analysis 5 Journal of Inequalities and Applications 5 Tbilisi Mathematical Journal 4 Israel Journal of Mathematics 4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 4 Annals of the Institute of Statistical Mathematics 4 Results in Mathematics 4 Studies in Applied Mathematics 4 Insurance Mathematics & Economics 4 SIAM Journal on Algebraic and Discrete Methods 4 Graphs and Combinatorics 4 Numerical Algorithms 4 Aequationes Mathematicae 4 Communications in Statistics. Theory and Methods 4 Journal of Algebraic Combinatorics 4 Journal of Difference Equations and Applications 4 Mediterranean Journal of Mathematics 3 American Mathematical Monthly 3 International Journal of Mathematical Education in Science and Technology 3 Journal of the Franklin Institute 3 Mathematical Notes 3 Archiv der Mathematik 3 Compositio Mathematica 3 Fuzzy Sets and Systems 3 Numerical Functional Analysis and Optimization 3 Acta Mathematica Hungarica 3 Journal of Symbolic Computation 3 Russian Journal of Mathematical Physics 3 Turkish Journal of Mathematics 3 Annals of Combinatorics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Science China. Mathematics 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 Communications in Algebra 2 Indian Journal of Pure & Applied Mathematics 2 Lithuanian Mathematical Journal 2 The Mathematical Gazette 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Glasgow Mathematical Journal 2 Journal of Algebra 2 Journal of Applied Probability 2 Journal of Combinatorial Theory. Series B 2 Journal of Multivariate Analysis 2 Numerische Mathematik 2 Quaestiones Mathematicae 2 Statistics & Probability Letters 2 Computer Aided Geometric Design 2 Queueing Systems 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Potential Analysis 2 Journal de Théorie des Nombres de Bordeaux 2 Statistical Papers 2 Journal of Mathematical Sciences (New York) 2 Finance and Stochastics 2 Honam Mathematical Journal 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Analysis in Theory and Applications 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Electronic Journal of Statistics 2 Journal of Nonlinear Science and Applications 2 Discrete Mathematics, Algorithms and Applications 2 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 2 Analysis and Mathematical Physics 2 Afrika Matematika 2 ISRN Algebra 2 Communications in Applied and Industrial Mathematics 2 Axioms ...and 142 more Serials
all top 5

#### Cited in 53 Fields

 388 Combinatorics (05-XX) 320 Number theory (11-XX) 245 Special functions (33-XX) 50 Probability theory and stochastic processes (60-XX) 42 Statistics (62-XX) 40 Approximations and expansions (41-XX) 36 Linear and multilinear algebra; matrix theory (15-XX) 34 Numerical analysis (65-XX) 33 Harmonic analysis on Euclidean spaces (42-XX) 29 Functions of a complex variable (30-XX) 25 Ordinary differential equations (34-XX) 21 Real functions (26-XX) 20 Computer science (68-XX) 17 Partial differential equations (35-XX) 17 Difference and functional equations (39-XX) 15 Group theory and generalizations (20-XX) 14 Information and communication theory, circuits (94-XX) 11 Commutative algebra (13-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 9 Integral transforms, operational calculus (44-XX) 8 Sequences, series, summability (40-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Operator theory (47-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Algebraic geometry (14-XX) 5 Associative rings and algebras (16-XX) 5 Geometry (51-XX) 5 Convex and discrete geometry (52-XX) 5 Quantum theory (81-XX) 5 Operations research, mathematical programming (90-XX) 4 Nonassociative rings and algebras (17-XX) 4 Integral equations (45-XX) 4 Algebraic topology (55-XX) 4 Biology and other natural sciences (92-XX) 4 Systems theory; control (93-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 3 Manifolds and cell complexes (57-XX) 3 Mechanics of deformable solids (74-XX) 2 Field theory and polynomials (12-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Astronomy and astrophysics (85-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.