SU\G(𝔸)/K·U

B. C. Carlson

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All published works
Action Title Year Authors
+ Landen Transformations of Integrals 2020 B. C. Carlson
+ Permutation symmetry for theta functions 2011 B. C. Carlson
+ PDF Chat Power series for inverse Jacobian elliptic functions 2008 B. C. Carlson
+ PDF Chat Table of integrals of squared Jacobian elliptic functions and reductions of related hypergeometric $R$-functions 2006 B. C. Carlson
+ Some reformulated properties of Jacobian elliptic functions 2005 B. C. Carlson
+ Jacobian elliptic functions as inverses of an integral 2005 B. C. Carlson
+ Symmetry in c, d, n of Jacobian elliptic functions 2004 B. C. Carlson
+ Jacobian elliptic functions as inverses of an integral 2004 B. C. Carlson
+ Three improvements in reduction and computation of elliptic integrals 2002 B. C. Carlson
+ Reduction theorems for elliptic integrands with the square root of two quadratic factors 2000 B. C. Carlson
James FitzSimons
+ Toward Symbolic Integration of Elliptic Integrals 1999 B. C. Carlson
+ Elliptic integrals: Symmetry and symbolic integration 1997 B. C. Carlson
+ PDF Chat Numerical computation of real or complex elliptic integrals 1995 B. C. Carlson
+ PDF Chat Asymptotic Approximations for Symmetric Elliptic Integrals 1994 B. C. Carlson
John L. Gustafson
+ PDF Chat A table of elliptic integrals: two quadratic factors 1992 B. C. Carlson
+ Inequality of the AGM and the Logarithmic Mean 1991 B. C. Carlson
Матти Вуоринен
+ PDF Chat A table of elliptic integrals: one quadratic factor 1991 B. C. Carlson
+ PDF Chat A Table of Elliptic Integrals: One Quadratic Factor 1991 B. C. Carlson
+ PDF Chat A Table of Elliptic Integrals: Cubic Cases 1989 B. C. Carlson
+ PDF Chat A table of elliptic integrals: cubic cases 1989 B. C. Carlson
+ PDF Chat A Table of Elliptic Integrals of the Third Kind 1988 B. C. Carlson
+ PDF Chat A table of elliptic integrals of the third kind 1988 B. C. Carlson
+ PDF Chat A Table of Elliptic Integrals of the Second Kind 1987 B. C. Carlson
+ Homogeneous mean values: Weights and asymptotics 1987 J. L. Brenner
B. C. Carlson
+ Dirichlet averages of $x^t \log x$ 1987 B. C. Carlson
+ PDF Chat A table of elliptic integrals of the second kind 1987 B. C. Carlson
+ Asymptotic Expansion of the First Elliptic Integral 1985 B. C. Carlson
John L. Gustafson
+ Starlike and Prestarlike Hypergeometric Functions 1984 B. C. Carlson
Dorothy Browne Shaffer
+ The Degenerating Behavior of Elliptic Functions 1983 B. C. Carlson
John A. Todd
+ Zolotarev's first problem — the best approximation by polynomials of degree ≤n − 2 tox n − nσx n−1 in [−1, 1] 1983 B. C. Carlson
John A. Todd
+ Total Positivity of Mean Values and Hypergeometric Functions 1983 B. C. Carlson
John L. Gustafson
+ The Laplace Transform of a Product of Bessel Functions 1980 B. C. Carlson
+ Computing elliptic integrals by duplication 1979 B. C. Carlson
+ Short Proofs of Three Theorems on Elliptic Integrals 1978 B. C. Carlson
+ Elliptic Integrals of the First Kind 1977 B. C. Carlson
+ A Singular Integral Equation (M. L. Glasser) 1976 B. C. Carlson
+ Quadratic Transformations of Appell Functions 1976 B. C. Carlson
+ PDF Chat The need for a new classification of double hypergeometric series 1976 B. C. Carlson
+ Appell’s Function $F_4 $ as a Double Average 1975 B. C. Carlson
+ Invariance of an Integral Average of a Logarithm 1975 B. C. Carlson
+ Invariance of an Integral Average of a Logarithm 1975 B. C. Carlson
+ Expansion of Analytic Functions in Jacobi Series 1974 B. C. Carlson
+ Inequalities for Jacobi Polynomials and Dirichlet Averages 1974 B. C. Carlson
+ Analytic Continuation of the Euler Transform 1974 B. C. Carlson
+ Averaged Integral Transforms 1973 Dale Murray Rognlie
B. C. Carlson
+ The Logarithmic Mean 1972 B. C. Carlson
+ The Logarithmic Mean 1972 B. C. Carlson
+ PDF Chat An algorithm for computing logarithms and arctangents 1972 B. C. Carlson
+ New Proof of the Addition Theorem for Gegenbauer Polynomials 1971 B. C. Carlson
+ Appell Functions and Multiple Averages 1971 B. C. Carlson
+ Algorithms Involving Arithmetic and Geometric Means 1971 B. C. Carlson
+ Algorithms Involving Arithmetic and Geometric Means 1971 B. C. Carlson
+ Polynomials satisfying a binomial theorem 1970 B. C. Carlson
+ Hidden Symmetries of Special Functions 1970 B. C. Carlson
+ Some Extensions of Lardner’s Relations between ${}_0 F_3 $ and Bessel Functions 1970 B. C. Carlson
+ PDF Chat Inequalities for a symmetric elliptic integral 1970 B. C. Carlson
+ PDF Chat Symmetric elliptic integrals of the third kind 1970 Dennis G. Zill
B. C. Carlson
+ PDF Chat Symmetric Elliptic Integrals of the Third Kind 1970 D. G. Zill
B. C. Carlson
+ A Connection Between Elementary Functions and Higher Transcendental Functions 1969 B. C. Carlson
+ PDF Chat A property of the hypergeometric mean value 1968 B. C. Carlson
M. D. Tobey
+ PDF Chat A Property of the Hypergeometric Mean Value 1968 B. C. Carlson
M. D. Tobey
+ The Fourier series of Gegenbauer’ function 1966 B. C. Carlson
W. H. Greiman
+ PDF Chat Some Inequalities for Hypergeometric Functions 1966 B. C. Carlson
+ PDF Chat Some inequalities for hypergeometric functions 1966 B. C. Carlson
+ PDF Chat Reduction and evaluation of elliptic integrals 1966 W. J. Nellis
B. C. Carlson
+ PDF Chat A Hypergeometric Mean Value 1965 B. C. Carlson
+ On Computing Elliptic Integrals and Functions 1965 B. C. Carlson
+ PDF Chat A hypergeometric mean value 1965 B. C. Carlson
+ PDF Chat Normal elliptic integrals of the first and second kinds 1964 B. C. Carlson
+ PDF Chat Lauricella's hypergeometric function FD 1963 B. C. Carlson
+ Some Series and Bounds for Incomplete Elliptic Integrals 1961 B. C. Carlson
+ Orthogonalization Procedures and the Localization of Wannier Functions 1957 B. C. Carlson
Joseph M. Keller
+ Periodic Ellipse of the Strong-Focusing Equation 1953 B. C. Carlson
Common Coauthors
Coauthor Papers Together
John L. Gustafson 3
M. D. Tobey 2
John A. Todd 2
W. H. Greiman 1
James FitzSimons 1
Dorothy Browne Shaffer 1
Dennis G. Zill 1
D. G. Zill 1
Матти Вуоринен 1
Dale Murray Rognlie 1
W. J. Nellis 1
Joseph M. Keller 1
J. L. Brenner 1
Commonly Cited References
Action Title Year Authors # of times referenced
+ Handbook of Elliptic Integrals for Engineers and Scientists 1971 Paul F. Byrd
Morris D. Friedman
 17
+ PDF Chat Lauricella's hypergeometric function FD 1963 B. C. Carlson
 17
+ PDF Chat Symmetric elliptic integrals of the third kind 1970 Dennis G. Zill
B. C. Carlson
 14
+ A Connection Between Elementary Functions and Higher Transcendental Functions 1969 B. C. Carlson
 14
+ PDF Chat Normal elliptic integrals of the first and second kinds 1964 B. C. Carlson
 12
+ PDF Chat Handbook of Elliptic Integrals for Engineers and Scientists 1972 Y. L. L.
Paul F. Byrd
Morris D. Friedman
 10
+ On Computing Elliptic Integrals and Functions 1965 B. C. Carlson
 9
+ Computing elliptic integrals by duplication 1979 B. C. Carlson
 9
+ PDF Chat Reduction and evaluation of elliptic integrals 1966 W. J. Nellis
B. C. Carlson
 8
+ Elliptic Integrals of the First Kind 1977 B. C. Carlson
 8
+ Hidden Symmetries of Special Functions 1970 B. C. Carlson
 7
+ Table of Integrals, Series, and Products 1980 7
+ PDF Chat A Table of Elliptic Integrals of the Second Kind 1987 B. C. Carlson
 7
+ PDF Chat Symmetric Elliptic Integrals of the Third Kind 1970 D. G. Zill
B. C. Carlson
 7
+ PDF Chat Some inequalities for hypergeometric functions 1966 B. C. Carlson
 6
+ PDF Chat A table of elliptic integrals of the third kind 1988 B. C. Carlson
 6
+ PDF Chat A hypergeometric mean value 1965 B. C. Carlson
 5
+ Handbook of Mathematical Functions 1966 Donald A. McQuarrie
 5
+ PDF Chat A table of elliptic integrals of the second kind 1987 B. C. Carlson
 5
+ Short Proofs of Three Theorems on Elliptic Integrals 1978 B. C. Carlson
 5
+ Handbook of Elliptic Integrals for Engineers and Physicists 1954 Paul F. Byrd
Morris D. Friedman
 5
+ Quadratic Transformations of Appell Functions 1976 B. C. Carlson
 4
+ PDF Chat A Hypergeometric Mean Value 1965 B. C. Carlson
 4
+ Algorithms Involving Arithmetic and Geometric Means 1971 B. C. Carlson
 4
+ PDF Chat A Table of Elliptic Integrals of the Third Kind 1988 B. C. Carlson
 4
+ PDF Chat A table of elliptic integrals: two quadratic factors 1992 B. C. Carlson
 4
+ PDF Chat Numerical computation of real or complex elliptic integrals 1995 B. C. Carlson
 4
+ PDF Chat Some Inequalities for Hypergeometric Functions 1966 B. C. Carlson
 4
+ PDF Chat A table of elliptic integrals: one quadratic factor 1991 B. C. Carlson
 4
+ Appell Functions and Multiple Averages 1971 B. C. Carlson
 4
+ Symmetry in c, d, n of Jacobian elliptic functions 2004 B. C. Carlson
 4
+ PDF Chat A property of the hypergeometric mean value 1968 B. C. Carlson
M. D. Tobey
 4
+ Higher transcendental functions. Vol. II 1953 H. Bateman
B.-E. Van Wyk
J.S. Boatwright
Patricia M. Tilney
 4
+ PDF Chat A generalization of a theorem of Newton 1962 J. N. Whiteley
 3
+ PDF Chat The lemniscate constants 1975 John A. Todd
 3
+ Appell’s Function $F_4 $ as a Double Average 1975 B. C. Carlson
 3
+ Jacobian Elliptic Functions<sup>*</sup> 1943 E. H. Neville
 3
+ The Generating Function of Jacobi Polynomials 1938 W. N. Bailey
 3
+ PDF Chat A Generalization of a Theorem of Newton 1962 J. N. Whiteley
 3
+ Elliptic Integrals 1958 Harris Hancock
 3
+ Landen Transformations of Integrals 2020 B. C. Carlson
 3
+ Algorithms Involving Arithmetic and Geometric Means 1971 B. C. Carlson
 3
+ PDF Chat A table of elliptic integrals: cubic cases 1989 B. C. Carlson
 3
+ New Proof of the Addition Theorem for Gegenbauer Polynomials 1971 B. C. Carlson
 3
+ Inequalities for Jacobi Polynomials and Dirichlet Averages 1974 B. C. Carlson
 3
+ Some inequalities concerning symmetric forms 1958 J. N. Whiteley
 3
+ Toward Symbolic Integration of Elliptic Integrals 1999 B. C. Carlson
 2
+ Auxiliary Table for the Incomplete Elliptic Integrals 1948 Edward L. Kaplan
 2
+ Approximations to the area of the ellipsoid 1945 Georg Pólya
 2
+ Some Series and Bounds for Incomplete Elliptic Integrals 1961 B. C. Carlson
 2