Systems of functions with the dual orthogonality property

1968 ◽  
Vol 4 (5) ◽  
pp. 821-824
Author(s):  
I. F. Krasichkov
Keyword(s):  
Orthogonality Property

scholarly journals An Orthogonality Property of the Legendre Polynomials

2016 ◽  
Vol 45 (1) ◽  
pp. 65-81 ◽  
Author(s):  
L. Bos ◽  
A. Narayan ◽  
N. Levenberg ◽  
F. Piazzon
Keyword(s):  
Legendre Polynomials ◽  
Orthogonality Property

An Orthogonality Property of Hydrogenlike Radial Functions

1962 ◽  
Vol 3 (6) ◽  
pp. 1280-1280 ◽  
Author(s):  
S. Pasternack ◽  
R. M. Sternheimer
Keyword(s):  
Radial Functions ◽  
Orthogonality Property

A Note on the Orthogonality of Jackson's q-Bessel Functions

1989 ◽  
Vol 32 (3) ◽  
pp. 369-376 ◽  
Author(s):  
Mizan Rahman
Keyword(s):  
Bessel Functions ◽  
Orthogonality Property

AbstractA q-analogue of the orthogonality property of the Bessel functions on the zeros is obtained in terms of a q-integral.

The orthogonality property of the classical Laguerre polynomials

1992 ◽  
Vol 50 (2-3) ◽  
pp. 167-173 ◽  
Author(s):  
Themistocles M. Rassias ◽  
H.M. Srivastava
Keyword(s):  
Laguerre Polynomials ◽  
Orthogonality Property

Franz Neumann's integral of 1848

1965 ◽  
Vol 61 (2) ◽  
pp. 445-456 ◽  
Author(s):  
E. R. Love
Keyword(s):  
Legendre Function ◽  
Legendre Functions ◽  
Orthogonality Property ◽  
Integral Order ◽  
Original Formula

AbstractThree generalizations of Neumann's integral connecting the two kinds of Legendre function are obtained. They are not subject to restrictions that some parameter be integral, as the original formula and various known extensions of it all appear to be. These known extensions are exhibited as quite particular cases of the chief generalization obtained; and even when this generalization is specialized to the ‘unassociated’ Legendre functions of non-integral order it still seems to be new. Generalizations of Rodrigues's formula and of the orthogonality property are auxiliary results involved.

scholarly journals On generalisation of H-measures

Filomat ◽  
2017 ◽  
Vol 31 (16) ◽  
pp. 5027-5044 ◽  
Author(s):  
Marko Erceg ◽  
Ivan Ivec
Keyword(s):  
Simple Application ◽  
Orthogonality Property ◽  
Parabolic Case

In some applications it is useful to consider variants of H-measures different from those introduced in the classical or the parabolic case. We introduce the notion of admissible manifold and define variant H-measures on Rd x P for any admissible manifold P. In the sequel we study one special variant, fractional H-measures with orthogonality property, where the corresponding manifold and projection curves are orthogonal, as it was the case with classical or parabolic H-measures, and prove the localisation principle. Finally, we present a simple application of the localisation principle.

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