Results 221 to 230 of about 10,679 (261)

Generalized Trigonometric Integral Transforms

Journal of Mathematical Sciences, 2017
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Generalized canonical transformations and path integrals

Physical Review A, 1989
Some time-dependent physical systems do not admit, in the general case, either an invariant or auxiliary equation. The study of these systems is then in general made easier by space-time transformation of coordinates. This is true for the case for a rectangular well with a moving wall, which generalized canonical transformations reduce, in the path ...
, Chetouani, , Guechi, , Hammann
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Inversion of General Integral Transforms

SIAM Journal on Mathematical Analysis, 1974
Following the terminology of Titchmarsh, we call an integral transform with a kernel depending on the product of its arguments \[\int_D {k(xy)\phi (y)dy = f(x),\quad x \in D,} \] a general integral transform. In this paper, the transform is inverted with $D = ( - \infty ,\infty )$, by means of the ordinary and generalized Mellin transforms.
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General integral transforms

International Journal of Mathematical Education in Science and Technology, 1981
In this paper the author establishes a general theory of integral transforms on the basis of the Sturm‐Liouville theory and associated eigenfunction expansions and claims that this theory guides one in the choice of integral transform for a specific problem.
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Generalized Integral Transformations

Physics Bulletin, 1970
A H Zemanian Sussex: John Wiley 1969 pp ix + 300 price £7 The author states in the preface: "The subject of this book arises from the confluence of two mathematical disciplines, the theory of integral transformations and the theory of generalized functions." Both these disciplines are of considerable importance to the physicist: generalized functions ...
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General integral transform of the exponential integrals

Astrophysics and Space Science, 1979
General integral transform of the exponential integralsEn is considered and will be denoted asB(k)n(τ). Different expressions and the equations satisfied byB(k)n are developed. Two-term recurrence formula forB(k)n(0) and three-term recurrence formula forB(k)n(τ); τ≠0 will be established for a givenk≥1 andn=2,3, ...,N. The computational algorithms based
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An Inversion Integral for a General Legendre Transformation

SIAM Review, 1963
PREVIOUSLY TA LI [5] CONSIDERED THE PROBLEM of an inversion integral for a certain integral transformation involving Chebyshev polynomials. Similar cases which include the Legendre polynomials [1] and the Gegenbauer (ultraspheric) polynomials [3] have also been treated.
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Integral transforms of generalized functions

Journal of Soviet Mathematics, 1986
Translation from Itogi Nauki Tekh., Ser. Mat. Anal. 20, 78-115 (Russian) (1982; Zbl 0552.46021).
Brychkov, Yu. A., Prudnikov, A. P.
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Generalized Integral Transforms with the Homotopy Perturbation Method

Journal of Mathematical Modelling and Algorithms in Operations Research, 2013
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Generalized finite integral transform

Journal of Engineering Physics, 1968
A generalized finite integral transform combining the Fourier and Hankel transforms is introduced. This transform, together with a Laplace transformation with respect to time, makes possible the simultaneous solution of the problems for a plate, a cylinder, and a sphere.
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