Seismic‐ray reflection tomography using integral function norm

2007 ◽  
Author(s):  
Vânia G. B. dos Santos ◽  
Wilson M. Figueiró
Keyword(s):  
Integral Function ◽  
Function Norm ◽  
Reflection Tomography

Holographic geometry, integral function and holographic surface

2019 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
Integral Function

Holographic geometry, integral function and holographic surface

scholarly journals The Bateman Functions Revisited after 90 Years—A Survey of Old and New Results

Mathematics ◽  
2021 ◽  
Vol 9 (11) ◽  
pp. 1273
Author(s):  
Alexander Apelblat ◽  
Armando Consiglio ◽  
Francesco Mainardi
Keyword(s):  
Hypergeometric Function ◽  
Laplace Transforms ◽  
Confluent Hypergeometric Function ◽  
Integral Function ◽  
Basic Properties ◽  
Differential Relations

The Bateman functions and the allied Havelock functions were introduced as solutions of some problems in hydrodynamics about ninety years ago, but after a period of one or two decades they were practically neglected. In handbooks, the Bateman function is only mentioned as a particular case of the confluent hypergeometric function. In order to revive our knowledge on these functions, their basic properties (recurrence functional and differential relations, series, integrals and the Laplace transforms) are presented. Some new results are also included. Special attention is directed to the Bateman and Havelock functions with integer orders, to generalizations of these functions and to the Bateman-integral function known in the literature.

Theoretical and numerical issues in the determination of reflector depths in seismic reflection tomography

1995 ◽  
Vol 100 (B7) ◽  
pp. 12449-12458 ◽  
Author(s):  
Kenneth P. Bube ◽  
Robert T. Langan ◽  
Jeffrey R. Resnick
Keyword(s):  
Seismic Reflection ◽  
Reflection Tomography

INTEGRABILITY AND ACTION FUNCTION IN MULTI-HAMILTONIAN SYSTEMS

2004 ◽  
Vol 19 (11) ◽  
pp. 863-870 ◽  
Author(s):  
S. I. MUSLIH
Keyword(s):  
Differential Equations ◽  
Hamiltonian Systems ◽  
Equations Of Motion ◽  
Integral Function ◽  
Jacobi Method ◽  
Action Function ◽  
Action Integral ◽  
Method Integration ◽  
Total Differential

Multi-Hamiltonian systems are investigated by using the Hamilton–Jacobi method. Integration of a set of total differential equations which includes the equations of motion and the action integral function is discussed. It is shown that this set is integrable if and only if the total variations of the Hamiltonians vanish. Two examples are studied.

Angle-domain double-difference reflection tomography

2017 ◽  
Author(s):  
Tao Yang ◽  
Jiubing Cheng ◽  
Pengfei Duan ◽  
Hong Liu
Keyword(s):  
Double Difference ◽  
Reflection Tomography
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