A study of the moments of additive functions using laplace transforms and sieve methods

Number Theory - Lecture Notes in Mathematics ◽

10.1007/bfb0075747 ◽

1985 ◽

pp. 1-37 ◽

Cited By ~ 1

Author(s):

Krishnaswami Alladi

Keyword(s):

Laplace Transforms ◽

Additive Functions ◽

Sieve Methods

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Moments of additive functions and sieve methods

Number Theory - Lecture Notes in Mathematics ◽

10.1007/bfb0071538 ◽

1984 ◽

pp. 1-25

Author(s):

Krishnaswami Alladi

Keyword(s):

Additive Functions ◽

Sieve Methods

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Results of Linear Cryptanalysis Using Linear Sieve Methods

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.e92.a.1347 ◽

2009 ◽

Vol E92-A (5) ◽

pp. 1347-1355

Author(s):

Yukiyasu TSUNOO ◽

Hiroki NAKASHIMA ◽

Hiroyasu KUBO ◽

Teruo SAITO ◽

Takeshi KAWABATA

Keyword(s):

Linear Cryptanalysis ◽

Sieve Methods

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Realized Laplace Transforms for Estimation of Jump Diffusive Volatility Models

SSRN Electronic Journal ◽

10.2139/ssrn.1687998 ◽

2010 ◽

Cited By ~ 2

Author(s):

Viktor Todorov ◽

George E. Tauchen ◽

Iaryna Grynkiv

Keyword(s):

Laplace Transforms ◽

Volatility Models

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DARBOUX-LIKE FUNCTIONS ON ℝ n WITHIN THE CLASSES OF BAIRE ONE, BAIRE TWO, AND ADDITIVE FUNCTIONS

Real Analysis Exchange ◽

10.2307/44152928 ◽

1998 ◽

Vol 24 (1) ◽

pp. 81

Author(s):

Ciesielski

Keyword(s):

Additive Functions ◽

Baire One

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A new efficient technique using Laplace transforms and smooth expansions to construct a series solution to the time-fractional Navier-Stokes equations

Alexandria Engineering Journal ◽

10.1016/j.aej.2021.07.020 ◽

2021 ◽

Author(s):

Aliaa Burqan ◽

Ahmad El-Ajou ◽

Rania Saadeh ◽

Mohammed Al-Smadi

Keyword(s):

Series Solution ◽

Stokes Equations ◽

Laplace Transforms ◽

Efficient Technique ◽

Navier Stokes ◽

Navier Stokes Equations

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

Mathematics ◽

10.3390/math9111273 ◽

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.

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