in the 1970s
J. Ernest Wilkins, Jr. page2 - His Research
in the 1970s
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Dr. J. Ernest Wilkins, Jr. has published more than 100 papers in Mathematics, Physics, and Engineering. The American Mathematics Society's Mathematical Reviews lists 46 research publications in Mathematics alone between the years of 1943 and 1997. Not listed are at least 30 publications appearing in the following journals: Journal of the Optical Society of America, Physical Review, International conference on the Peaceful Uses of Atomic Energy, Journal of Aerospace Sciences, Proceedings of the Heat Transfer and Fluid Mechanics Institute, Nuclear Science and Engineering, Proceedings of the Third International Heat Transfer Conference, Proceedings of the Fourth International heat Transfer conference, Nuclear Engineering and Design.
SELECTED PUBLICATIONS
44. Wilkins, J. Ernest, Jr. The expected value of the number of real zeros of a random sum of Legendre polynomials. Proc. Amer. Math. Soc. 125 (1997), no. 5, 1531--1536.
43. Wilkins, J. Ernest, Jr.; Souter, Shantay A. Mean number of real zeros of a random trigonometric polynomial. III. J. Appl. Math. Stochastic Anal. 8 (1995), no. 3, 299--317.
42. Wilkins, J. Ernest, Jr. Mean number of real zeros of a random trigonometric polynomial. II. Topics in polynomials of one and several variables and their applications, 581--594, World Sci. Publishing, River Edge, NJ, 1993.
41. Wilkins, J. Ernest, Jr. The Landau constants. Progress in approximation theory, 829--842, Academic Press, Boston, MA, 1991.
40. Wilkins, J. Ernest, Jr. An integral inequality. Proc. Amer. Math. Soc. 113 (1991), no. 2, 345--353.
39. Wilkins, J. Ernest, Jr. Mean number of real zeros of a random trigonometric polynomial. Proc. Amer. Math. Soc. 111 (1991), no. 3, 851--863.
38. Wilkins, J. Ernest, Jr. An asymptotic expansion for the expected number of real zeros of a random polynomial. Proc. Amer. Math. Soc. 103 (1988), no. 4, 1249--1258.
37. Wilkins, J. Ernest, Jr. A modulus of continuity for a class of quasismooth functions. Proc. Amer. Math. Soc. 93 (1985), no. 3, 459--465.
36. Wilkins, J. Ernest, Jr.; Hatcher, Theodore R. The maximum of a quasismooth function. Math. Comp. 41 (1983), no. 164, 573--589.
35. Wilkins, J. Ernest, Jr. A variational problem in Hilbert space. Appl. Math. Optim. 2 (1975/76) no. 3, 265--270.
34. Wilkins, J. Ernest, Jr. The Silverman necessary condition for multiple integrals in the calculus of variations. Proc. Amer. Math. Soc. 44 (1974), 409--410.
33. Wilkins, J. Ernest, Jr. The eigenvalues of the Bethe differential system. SIAM J. Math. Anal. 4 (1973), 62--77.
32. Wilkins, J. Ernest, Jr. An upper bound for the expected number of real zeros of a random polynomial. J. Math. Anal. Appl. 42 (1973), 569--577.
31. Wilkins, J. Ernest, Jr. Bounds for the variational ratio of arbitrary linear systems. Proc. Amer. Math. Soc. 37 (1973), 128--136.
30. Wilkins, J. Ernest, Jr. Maximum internal temperatures in one-dimensional geometries with nonuniform heat generation and equal surface temperatures. SIAM J. Appl. Math. 21 (1971), 306--320.
29. Wilkins, J. Ernest, Jr. The bold strategy in presence of house limit. Proc. Amer. Math. Soc. 32 (1972), 567--570.
28. Wilkins, J. Ernest, Jr. Problems of stationarity and control with a nonlocal cost per unit time. J. Math. Anal. Appl. 33 1971 433--434.
27. Wilkins, J. Ernest, Jr. Diffusion in an infinite or semi-infinite medium whose diffusion coefficient depends linearly on the concentration. J. Soc. Indust. Appl. Math. 11 1963 632--644.
26. Wilkins, J. Ernest, Jr. Diffusion approximation to the transport equation. 1961 Proc. Sympos. Appl. Math., Vol. XI pp. 105--115, American Mathematical Society, Providence, R.I.
25. Wilkins, J. Ernest, Jr.; Mechanic, Harold Errata: Calculation of total field integrals for air scattered dose rates. SIAM Rev. 3 (1961), 260--261.
24. Wilkins, J. Ernest, Jr. Minimum mass thin fins with specified minimum thickness. J. Soc. Indust. Appl. Math. 9 1961 194--206.
23. Wilkins, J. Ernest, Jr. Minumum-mass thin fins which transfer heat only by radiation to surroundings at absolute zero. J. Soc. Indust. Appl. Math. 8 1960 630--639.
22. Wilkins, J. Ernest, Jr. Conduction of heat in an insulated spherical shell with arbitrary spherically symmetric sources. SIAM Rev. 1 (1959) 149--153.
21. Wilkins, J. Ernest, Jr. The average of the reciprocal of a function. Proc. Amer. Math. Soc. 6 (1955), 806--815.
20. Wilkins, J. Ernest, Jr. A variational problem in reactor theory. Proc. Amer. Math. Soc. 5, (1954). 345--348.
19. Wilkins, J. Ernest, Jr. Neumann series of Bessel functions. II. Trans. Amer. Math. Soc. 69, (1950). 55--65.
18. Wilkins, J. Ernest, Jr. Some remarks on ruled surfaces. Bull. Amer. Math. Soc. 55, (1949). 1169--1176.
17. Wilkins, J. Ernest, Jr. The general term of the generalized Schlömilch series. Amer. J. Math. 72, (1950). 187--190.
16. Wilkins, J. Ernest, Jr. A bound for the mean value of a function. Bull. Amer. Math. Soc. 55, (1949). 801--803.
15. Wilkins, J. Ernest, Jr. An integration scheme of Maréchal. Bull. Amer. Math. Soc. 55, (1949). 191--192.
14. Wilkins, J. Ernest, Jr. Neumann series of Bessel functions. Trans. Amer. Math. Soc. 64, (1948). 359--385.
13. Wilkins, J. Ernest, Jr. Nicholson's integral for $J\sb n\sp
2(z)+Y\sb n\sp 2(z)$. Bull. Amer. Math. Soc. 54, (1948). 232--234.
12. Wilkins, J. Ernest, Jr. The isoperimetric problem of Bolza with finite side conditions. Bull. Amer. Math. Soc. 53, (1947). 1151--1155.
11. Wilkins, J. Ernest, Jr. A note on the general summability of functions. Ann. of Math. (2) 49, (1948). 189--199.
10. Wilkins, J. Ernest, Jr. The converse of a theorem of Tchaplygin
on differential inequalities. Bull. Amer. Math. Soc. 53, (1947). 126--129.
9. Wilkins, J. Ernest, Jr. The differential difference equation for
epidemics. Bull. Math. Biophys. 7, (1945). 149--150.
8. Wilkins, J. Ernest, Jr. A special class of surfaces in projective differential geometry. II. Duke Math. J. 12, (1945). 397--408.
7. Wilkins, J. Ernest, Jr. The contact of a cubic surface with a ruled surface. Amer. J. Math. 67, (1945). 71--82.
6. Wilkins, J. Ernest, Jr. A note on skewness and kurtosis. Ann. Math. Statistics 15, (1944). 333--335.
5. Wilkins, J. Ernest, Jr. Multiple integral problems in parametric form in the calculus of variations. Ann. of Math. (2) 45, (1944). 312--334.
4. Wilkins, J. Ernest, Jr. Definitely self-conjugate adjoint integral equations. Duke Math. J. 11, (1944). 155--166.
3. Wilkins, J. Ernest, Jr. On the growth of solutions of linear differential equations. Bull. Amer. Math. Soc. 50, (1944). 388--394.
2. Wilkins, J. Ernest, Jr. A special class of surfaces in projective differential geometry. Duke Math. J. 10, (1943). 667--675.
1. Wilkins, J. Ernest, Jr. The first canonical pencil. Duke Math. J. 10, (1943). 173--178.
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