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Full-Text Articles in Physical Sciences and Mathematics
On The Summability And Generalized Sum Of A Series Of Legendre Polynomials, W. C. Brenke
On The Summability And Generalized Sum Of A Series Of Legendre Polynomials, W. C. Brenke
Department of Mathematics: Faculty Publications
The results obtained in this paper are as follows. (A) The series of Legendre polynomials ΣnpXn(x), where p is a positive integer, is summable (H, p) for -1< x < 1, and summable (H, p +1) for - 1 ≤ x < 1 .
On The Element Of Decomposition Of A Doubly Periodic Function Of The Second Kind, M. A. Basoco
On The Element Of Decomposition Of A Doubly Periodic Function Of The Second Kind, M. A. Basoco
Department of Mathematics: Faculty Publications
Hermite has shown that a meromorphic function which satisfies periodicity relations of the form (1) F (z + 2ω) = μF (z), F (z + 2ω’) = μ’F (z), where ω’/ω = a+ib, b>0, and μ, μ' are independent of z, maybe expressed in terms of the function v{z + X) (2) G(z) = σ(z + λ) ÷ σ(z) + σ(λ) eρz, and its derivatives, in which λ, ρ are suitably determined constants and σ(u) is the …