Errata: The Distributional Laplace and Mellin Transformations
نویسندگان
چکیده
منابع مشابه
Approximate Counting via the Poisson-Laplace-Mellin Method
Approximate counting is an algorithm that provides a count of a huge number of objects within an error tolerance. The first detailed analysis of this algorithm was given by Flajolet. In this paper, we propose a new analysis via the Poisson-Laplace-Mellin approach, a method devised for analyzing shape parameters of digital search trees in a recent paper of Hwang et al. Our approach yields a diff...
متن کاملBK-factorization and Darboux-Laplace transformations
BK-factorization of bivariate LPDOs is outlined. As an example, class of factorized hyperbolic operators is constructed as well as general solution in quadratures for operators of this class. Coupling of BK-factorization with Darboux-Laplace transformations is described which provided additional factorization conditions (demand of generalized commutativity) in the case when BK-factorization doe...
متن کاملDistributional transformations, orthogonal polynomials, and Stein characterizations
A new class of distributional transformations is introduced, characterized by equations relating function weighted expectations of test functions on a given distribution to expectations of the transformed distribution on the test function’s higher order derivatives. The class includes the size and zero bias transformations, and when specializing to weighting by polynomial functions, relates dis...
متن کاملThe Laplace and Mellin transforms of powers of the Riemann zeta-function
AMS subject classification: Primary 11M06, Secondary 11F72
متن کاملMULTIPLE MELLIN AND LAPLACE TRANSFORMS OF I-FUNCTIONS OF r VARIABLES
The aim of this paper is to study multiple Mellin and Laplace transforms involving multivariable I-function. In this regard, we have proved five theorems, and a few corollaries have also been recorded. Similar results for the H-function of two and r variables obtained by other authors follow as special case of our findings.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Applied Mathematics
سال: 1967
ISSN: 0036-1399,1095-712X
DOI: 10.1137/0115019