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1: 28.27 Addition Theorems
§28.27 Addition Theorems
Addition theorems provide important connections between Mathieu functions with different parameters and in different coordinate systems. They are analogous to the addition theorems for Bessel functions (§10.23(ii)) and modified Bessel functions (§10.44(ii)). …
2: 30.10 Series and Integrals
For an addition theorem, see Meixner and Schäfke (1954, p. 300) and King and Van Buren (1973). …
3: 25 Zeta and Related Functions
4: Adri B. Olde Daalhuis
Olde Daalhuis has published numerous papers in asymptotics and special functions and in addition to his responsibilities as Mathematics Editor of the DLMF, he is the author or coauthor of the following DLMF Chapters …
5: 10.44 Sums
§10.44(ii) Addition Theorems
Neumann’s Addition Theorem
Graf’s and Gegenbauer’s Addition Theorems
6: 22.18 Mathematical Applications
§22.18(iv) Elliptic Curves and the Jacobi–Abel Addition Theorem
For any two points ( x 1 , y 1 ) and ( x 2 , y 2 ) on this curve, their sum ( x 3 , y 3 ) , always a third point on the curve, is defined by the Jacobi–Abel addition law …With the identification x = sn ( z , k ) , y = d ( sn ( z , k ) ) / d z , the addition law (22.18.8) is transformed into the addition theorem (22.8.1); see Akhiezer (1990, pp. 42, 45, 73–74) and McKean and Moll (1999, §§2.14, 2.16). …
7: 1 Algebraic and Analytic Methods
8: 18 Orthogonal Polynomials
9: Bernard Deconinck
In addition, he has spent time at the University of Alberta, the Mathematical Sciences Research Institute in Berkeley, California, and Colorado State University. …
10: 13.13 Addition and Multiplication Theorems
§13.13 Addition and Multiplication Theorems
§13.13(i) Addition Theorems for M ( a , b , z )
§13.13(ii) Addition Theorems for U ( a , b , z )
13.13.12 e y ( x + y x ) 1 b n = 0 ( y ) n n ! x n U ( a n , b n , x ) , | y | < | x | .