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The generation of series with higher transcendental functions by means of intergral transforms

Creator:: Gamon, Kenneth Oakland
Resource Type:: Masters Thesis
Full Text:: ). (r1athematics Research Center Report 38) 9. Oberhettinger, F. Unpublished additions to the existing tables

Heat conduction in a cone with a ring source

Creator:: Fkiaras, Nicolaos George
Resource Type:: Masters Thesis
Full Text:: for PrivacyAbstract approved: Fritz Oberhettinger The solution of the heat conduction equation au K

Investigations concerning heat transfer involving wedge-shaped configurations

Creator:: King, John Michael
Abstract:: The temperature field inside a "truncated" wedge is investigated. For this purpose the two dimensional Green's function of the heat equation for this domain is established. Further applications of these results center around a problem of heat conduction investigated by Lebedev.
Resource Type:: Masters Thesis
Full Text:: approved: Fritz Oberhettinger The temperature field inside a "truncated" wedge is investi- gated. For

Generalizations of the Watson transforms

Creator:: Pandey, Nagendra Nath
Abstract:: The generalized Hankel transforms are studied in the first part of this thesis; these include the Watson transforms as a special case. For the validity of the reciprocal relations, a necessary and sufficient condition on the kernel is proved. The proof involves first changing the variables so that all the...
Resource Type:: Dissertation

Application of the Wiener-Hopf technique t half plane diffraction of cylindrical waves

Creator:: Amos, Donald E.
Resource Type:: Dissertation

Applications of integral transforms in generating summable series involving higher transcendental functions

Creator:: Badii, Larry Lotfali
Abstract:: A large number of results concerning the sums of certain infinite series involving Legendre functions (including conical functions) are derived. The generating principle chosen here is based upon the application of Integral transforms of the Fourier, Hankel and Meijer type of finite and infinite character. This particular choice leads to...
Resource Type:: Dissertation

Asymptotic expansions and general behavior of the modified Bessel function of the third kind of imaginary order

Creator:: Balogh, Charles Béla
Abstract:: See pdf.
Resource Type:: Dissertation

The diffraction of cylindrical waves by two parallel half planes

Creator:: Soni, Raj Pal
Abstract:: The electromagnetic field produced by a line current oriented parallel to the edges of two perfectly conducting parallel half planes is considered. Maxwell's equations reduce to a single wave equation involving only one component of the electric field. Moreover the value of the field is zero on the two half...
Resource Type:: Dissertation

The propagation of waves and pulses in the presence of conical structures

Creator:: Gamon, Kenneth Oakland
Abstract:: The electromagnetic field in a cone of arbitrary slant height with a symmetrically placed time harmonic ring source is studied. Through the use of the modified Helmholtz equation as an intermediate, we obtain the solution of the semi-infinite cone directly from the finite cone. To demonstrate the need for the...
Resource Type:: Dissertation

On a generalization of the Lerch zeta function

Creator:: Rivera, Dorothy Marguerite
Abstract:: Application of a Mellin transform to a series which represents a generalization of the Lerch zeta function yields a transformation series. One obtains the asymptotic behavior of the series, together with some associated expansions and limit relations and moreover,a specialization of parameters yields several classical results.
Resource Type:: Dissertation

ScholarsArchive@OSU

The generation of series with higher transcendental functions by means of intergral transforms

Heat conduction in a cone with a ring source

Investigations concerning heat transfer involving wedge-shaped configurations

Generalizations of the Watson transforms

Application of the Wiener-Hopf technique t half plane diffraction of cylindrical waves

Applications of integral transforms in generating summable series involving higher transcendental functions

Asymptotic expansions and general behavior of the modified Bessel function of the third kind of imaginary order

The diffraction of cylindrical waves by two parallel half planes

The propagation of waves and pulses in the presence of conical structures

On a generalization of the Lerch zeta function

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