Log-convexity properties of Schur functions and generalized hypergeometric functions of matrix argument
نویسندگان
چکیده
منابع مشابه
Log-Convexity Properties of Schur Functions and Generalized Hypergeometric Functions of Matrix Argument
We establish a positivity property for the difference of products of certain Schur functions, sλ(x), where λ varies over a fundamental Weyl chamber in R n and x belongs to the positive orthant in R. Further, we generalize that result to the difference of certain products of arbitrary numbers of Schur functions. We also derive a log-convexity property of the generalized hypergeometric functions ...
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ژورنال
عنوان ژورنال: The Ramanujan Journal
سال: 2010
ISSN: 1382-4090,1572-9303
DOI: 10.1007/s11139-010-9239-0