Zobrazeno 1 - 10
of 42
pro vyhledávání: '"L. R. Bragg"'
Autor:
L. R. Bragg
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 12, Iss 3, Pp 583-587 (1989)
By using two basic formulas for the digamma function, we derive a variety of series that involve as coefficients the values (2n+1), n=1,2,⋯, of the Riemann-zeta function. A number of these have a combinatorial flavor which we also express in a trig
Externí odkaz:
https://doaj.org/article/58a3e9788c244b4ea35027930c4b08cc
Autor:
S.K. Tsui, L. R. Bragg
Publikováno v:
Applicable Analysis. 81:1467-1482
We briefly review series solutions of differential equations problems of the second order that lead to coefficients expressed in terms of determinants. Derivative type formulas involving a generating function with several parameters are developed for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::302031b0b8623ee95e65082e8d2615a0
https://doi.org/10.1080/0003681021000035470
https://doi.org/10.1080/0003681021000035470
Autor:
L. R. Bragg
Publikováno v:
The ANZIAM Journal. 42:185-194
Derivative-type ascent formulas are deduced for the kernels of certain half-space Dirichlet problems. These have the character of differentiation formulas for the Bessel functions but involve modifying variables after completing the differentiations.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2e659c110cfccfa41efefc97eecc27a1
https://doi.org/10.1017/s144618110001186x
https://doi.org/10.1017/s144618110001186x
Autor:
L. R. Bragg
Publikováno v:
The American Mathematical Monthly. 106:36-42
(1999). Trigonometric Integrals and Hadamard Products. The American Mathematical Monthly: Vol. 106, No. 1, pp. 36-42.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5c243ccc38efd7c76ed942c20772fe3f
https://doi.org/10.1080/00029890.1999.12005004
https://doi.org/10.1080/00029890.1999.12005004
Autor:
L. R. Bragg
Publikováno v:
Applicable Analysis. 68:383-394
Transformations that connect solutions of higher order Cauchy problems to corresponding lower order ones are examined. These generally have a non-transmutational character. They are employed to study the limiting behaviors of solutions of various Eul
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::75e2bc19e80f84eb06037aeb4328efbd
https://doi.org/10.1080/00036819808840637
https://doi.org/10.1080/00036819808840637
Autor:
L. R. Bragg
Publikováno v:
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics. 38:229-239
The Huygens' property is exploited to study propagation relations for solutions of certain types of linear higher order Cauchy problems. Motivated by the solution properties of the abstract wave problem, addition formulas are developed for the soluti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f7350bedf067e53f04927a0b47f74c1c
https://doi.org/10.1017/s033427000000062x
https://doi.org/10.1017/s033427000000062x
Autor:
L. R. Bragg
Publikováno v:
Applicable Analysis. 45:243-249
In earlier papers, the author examined transmutation relations between the solutions of three abstract Sobolev problems and a corresponding abstract heat problem. In this note, we examine these relationships in the classical setting by means of Fouri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::94dd716fe826eb70d0b2196b62b36ab9
https://doi.org/10.1080/00036819208840098
https://doi.org/10.1080/00036819208840098
Autor:
L. R. Bragg
Publikováno v:
The American Mathematical Monthly. 98:259-262
A number of now-ancient texts in advanced calculus employed the method of parametric differentiation to deduce evaluations for a variety of complicated definite integrals (e.g., [4,7]). In his autobiography [3], R. P. Feynman mentioned how he frequen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b15e4ca7101dd47fa0aa76c737842556
https://doi.org/10.1080/00029890.1991.11995739
https://doi.org/10.1080/00029890.1991.11995739
Autor:
L. R. Bragg
Publikováno v:
Applicable Analysis. 37:213-225
Let X be a Banach space and let A=B2 in which B is the infinitesimal generator of a strongly continous group in X for α>0.We construct solution representations of the iterated Cauchy problem in which the πj∊D(Ar) for r ≥n.When α=2m+1.these ini
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::68da0bf7605715a7f7c075e404cfdfa5
https://doi.org/10.1080/00036819008839949
https://doi.org/10.1080/00036819008839949
Autor:
J. W. Dettman, L. R. Bragg
Publikováno v:
Rocky Mountain J. Math. 25, no. 3 (1995), 887-917
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::975febc833fbdeae694db9290cc27129
https://doi.org/10.1216/rmjm/1181072194
https://doi.org/10.1216/rmjm/1181072194