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analytic properties

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1: 28.7 Analytic Continuation of Eigenvalues
§28.7 Analytic Continuation of Eigenvalues
28.7.4 n = 0 ( b 2 n + 2 ( q ) - ( 2 n + 2 ) 2 ) = 0 .
2: 5.2 Definitions
5.2.1 Γ ( z ) = 0 e - t t z - 1 d t , z > 0 .
5.2.2 ψ ( z ) = Γ ( z ) / Γ ( z ) , z 0 , - 1 , - 2 , .
3: 16.2 Definition and Analytic Properties
§16.2 Definition and Analytic Properties
§16.2(ii) Case p q
§16.2(iii) Case p = q + 1
§16.2(iv) Case p > q + 1
§16.2(v) Behavior with Respect to Parameters
4: William P. Reinhardt
Reinhardt is a theoretical chemist and atomic physicist, who has always been interested in orthogonal polynomials and in the analyticity properties of the functions of mathematical physics. …
5: 35.2 Laplace Transform
where the integration variable X ranges over the space Ω . …
6: 4.14 Definitions and Periodicity
4.14.7 cot z = cos z sin z = 1 tan z .
7: 15.2 Definitions and Analytical Properties
§15.2 Definitions and Analytical Properties
§15.2(ii) Analytic Properties
Because of the analytic properties with respect to a , b , and c , it is usually legitimate to take limits in formulas involving functions that are undefined for certain values of the parameters. …
8: 4.28 Definitions and Periodicity
Periodicity and Zeros
9: 22.17 Moduli Outside the Interval [0,1]
§22.17(ii) Complex Moduli
10: 33.2 Definitions and Basic Properties
§33.2(i) Coulomb Wave Equation
§33.2(ii) Regular Solution F ( η , ρ )
§33.2(iii) Irregular Solutions G ( η , ρ ) , H ± ( η , ρ )