Contributions to the theory of Hermitian series III. Meanvalues
Let f(z) be holomorphic in the strip −σ<y<σ<∞ and satisfy the conditions for having an expansion in an Hermitian series f(z)=∑n=0∞fnhn(z), hn(z)=(π122nn!)−12e−12z2Hn(z),absolutely convergent in the strip. Two meanvalues 𝔐k(f;y)={π−12∫−∞∞e−kx2|f(x+iy)|2dz}12, k=0,1.are discussed, directl...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1980-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171280000294 |
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