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The Quarterly Journal of Mechanics and Applied Mathematics 1957 10(2):254-256; doi:10.1093/qjmam/10.2.254
© 1957 by Oxford University Press
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ON THE GENERALIZED BER, BEI, KER, AND KEI FUNCTIONS WITH APPLICATION TO PLATE PROBLEMS

YI-YUAN YU

( Syracuse University Syracuse )

It is pointed out in this note that the solution of the differential equation

may best be put in terms of the real and imaginary parts of the modified Bessel functions of the zero order, denoted by I0({alpha}x)r, I0({alpha}x)r, and K0({alpha}x)i. Since these reduce to the ber, bei, ker, and kei functions when s is zero, they are called the generalized ber, bei, ker, and kei functions. Their application to plate problems is indicated.


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