On the asymptotic form of the Titchmarsh-Weyl m-coefficientFootnote†

†Dedicated to the memory of Arthur Endélyi on the occasion of his seventieth birthday

References

• Abramowitz , M. , Stegun , Irene A. , Akhiezer , N. I. , Birkhoff , G. , Dunford , N. and Schwartz , J. T. 1965. . Linear Operators , New York : Dover Publications . Oliver and Boyd ,Edinburgh, 1965 ,Ginn and Company, New York 1962., Part 11, Interscience New York 1964.
   Google Scholar
• Everitt , W. N. 1971/72 . On an extension to an integer-differential inequality of Hardy, . Proc. Royal Soc. Edinburgh , 69 : 295 – 333. .
   Google Scholar
• Everitt , W. N. 1972 . On a property of the m-coefficient of a second-order linear differential equation . J. London Math. Soc. , 2 ( 2 ) : 443 – 457 .
   Google Scholar
• Everitt , W. N. and Zettl , A. 1978 . On a class of integral inequalities . J. London Math. Soc. , 17 ( 2 ) : 291 – 303 .
   Google Scholar
• Halvorsen , S. G. 1962 . “ Some properties of singular Sturm Liouville equations with a complex ” . In Phys. Math. Univ , Vol. 14 , Osloensis .
   Google Scholar
• Hellwig , G. , Hille , E. and Naimark , M. A. 1967. . Linear Differential Operators: , London : Addison-Wesley . Part II Addison-Wesley, London London (1969) Ungar New York 1968.
   Google Scholar
• Hellwig , G. , Hille , E. and Naimark , M. A. 1974. . Asymptotics and Special Functions , Academic Press .
   Google Scholar
• Titchmarsh , E. C. 1962. . Eigenfunction Expansions Associated with Second Order Differential , Oxford University Press . Part I
   Google Scholar
• Weyl , H. 1910 . Ueber gewötinliche Differentialgleichungen mit Singularitaten und die zugehorigen Entwicklungen willkürlicher Funktionen . Math. Ann. , 68 : 220 – 269 .
   Google Scholar