Author name: WebMaster2

A note on an analogue of Hadamard’s theorem for determining the radii of m-meromorphy

Nattapong Bosuwan

In this paper, we prove an extension of Hadamard’s classical theorem for determining the radius of mmeromorphy
of an analytic function in terms of its Taylor coefficients. Our extension is expressed in terms of Fourier
coefficients with respect to an orthonormal polynomial system on the unit circle. Our main result confirms a conjecture
posed in [Dolomit Res Notes Approx 17 (2024):12–21].


āđƒāļ™āļšāļ—āļ„āļ§āļēāļĄāļ™āļĩāđ‰ āđ€āļĢāļēāđ„āļ”āđ‰āļžāļīāļŠāļđāļˆāļ™āđŒāļāļēāļĢāļ‚āļĒāļēāļĒāļœāļĨāļ—āļĪāļĐāļŽāļĩāļ„āļĨāļēāļŠāļŠāļīāļāļ‚āļ­āļ‡āļŪāļēāļ”āļēāļĄāļēāļĢāđŒāļ” āļŠāļģāļŦāļĢāļąāļšāļāļēāļĢāļŦāļēāļ„āđˆāļēāļĢāļąāļĻāļĄāļĩāļ‚āļ­āļ‡āđ€āļĄāļ­āđ‚āļĢāļĄāļ­āļĢāđŒāļŸāļĩāļ‚āļ­āļ‡āļŸāļąāļ‡āļāđŒāļŠāļąāļ™āļ§āļīāđ€āļ„āļĢāļēāļ°āļŦāđŒāđƒāļ™āđāļ‡āđˆāļ‚āļ­āļ‡āļŠāļąāļĄāļ›āļĢāļ°āļŠāļīāļ—āļ˜āļīāđŒāđ€āļ—āļĒāđŒāđ€āļĨāļ­āļĢāđŒ āļāļēāļĢāļ‚āļĒāļēāļĒāļœāļĨāļ‚āļ­āļ‡āđ€āļĢāļēāļ™āļąāđ‰āļ™āđāļŠāļ”āļ‡āļ­āļ­āļāđƒāļ™āđāļ‡āđˆāļ‚āļ­āļ‡āļŠāļąāļĄāļ›āļĢāļ°āļŠāļīāļ—āļ˜āļīāđŒāļŸāļđāļĢāļīāđ€āļĒāļĢāđŒ āđ‚āļ”āļĒāļ­āđ‰āļēāļ‡āļ­āļīāļ‡āļ–āļķāļ‡āļĢāļ°āļšāļšāļžāļŦāļļāļ™āļēāļĄāļ­āļ­āļĢāđŒāđ‚āļ˜āļ™āļ­āļĢāđŒāļĄāļ­āļĨāļšāļ™āļ§āļ‡āļāļĨāļĄāļŦāļ™āļķāđˆāļ‡āļŦāļ™āđˆāļ§āļĒ āļœāļĨāļĨāļąāļžāļ˜āđŒāļŦāļĨāļąāļāļ‚āļ­āļ‡āđ€āļĢāļēāļĒāļ·āļ™āļĒāļąāļ™āļ‚āđ‰āļ­āļŠāļąāļ™āļ™āļīāļĐāļāļēāļ™āļ—āļĩāđˆāđ€āļŠāļ™āļ­āđ„āļ§āđ‰āđƒāļ™ [Dolomit Res Notes Approx 17 (2024):12–21]

List of students accepted to BSc Actuarial Science and B.Sc. Programme in Industrial Mathematics & Data Science Academic Year 2025 (Early Direct Admission)

List of students accepted to BSc Actuarial Science and B.Sc. Programme in Industrial Mathematics & Data Science (Early Direct Admission) List of accepted students Attendance Confirmation Form AS Attendance Confirmation Form IMDS Details Dates Submit the enrollment confirmation form to the Department of Mathematics, Faculty of Science, Mahidol University 8 – 12 November 2024via this link […]

List of students accepted to BSc Actuarial Science and B.Sc. Programme in Industrial Mathematics & Data Science Academic Year 2025 (Early Direct Admission) Read More Âŧ

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Announcement of the list of eligible candidates to be interviewed: B.Sc. Actuarial Science And B.Sc. Industrial Mathematics And Data Science, Academic Year 2025 (Early Direct Admission) Read More Âŧ

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Application for Admission to B.Sc. Programme in Actuarial Science and B.Sc. Programme in Industrial Mathematics & Data Science Academic Year 2025 (Early Direct Admission)                    The Faculty of Science, Mahidol University is accepting applications for enrollment and will hold an entrance examination to select students to be

Application for Admission to B.Sc. Programme in Actuarial Science and B.Sc. Programme in Industrial Mathematics & Data Science Academic Year 2025 (Early Direct Admission) Read More Âŧ

āļœāļđāđ‰āļŠāđˆāļ§āļĒāļĻāļēāļŠāļ•āļĢāļēāļˆāļēāļĢāļĒāđŒāļŠāļĄāļ„āļīāļ” āļ­āļĄāļĢāļŠāļĄāļēāļ™āļāļļāļĨ āļŦāļąāļ§āļŦāļ™āđ‰āļēāļ āļēāļ„āļ§āļīāļŠāļēāļ„āļ“āļīāļ•āļĻāļēāļŠāļ•āļĢāđŒ āđāļĨāļ°āļœāļđāđ‰āļŠāđˆāļ§āļĒāļĻāļēāļŠāļ•āļĢāļēāļˆāļēāļĢāļĒāđŒāļŠāļļāļ™āļ—āļĢāļĩ āļ­āļļāļ“āļŦāļžāļīāļžāļąāļ’āļ™āđŒ āđ„āļ”āđ‰āđ€āļ”āļīāļ™āļ—āļēāļ‡āđ„āļ›āļ›āļĢāļ°āļŠāļēāļŠāļąāļĄāļžāļąāļ™āļ˜āđŒāļŦāļĨāļąāļāļŠāļđāļ•āļĢāļ—āļĩāđˆ āđ‚āļĢāļ‡āđ€āļĢāļĩāļĒāļ™āđ€āļ•āļĢāļĩāļĒāļĄāļ­āļļāļ”āļĄāļĻāļķāļāļĐāļēāļ āļēāļ„āđƒāļ•āđ‰

āļœāļđāđ‰āļŠāđˆāļ§āļĒāļĻāļēāļŠāļ•āļĢāļēāļˆāļēāļĢāļĒāđŒāļŠāļĄāļ„āļīāļ” āļ­āļĄāļĢāļŠāļĄāļēāļ™āļāļļāļĨ āļŦāļąāļ§āļŦāļ™āđ‰āļēāļ āļēāļ„āļ§āļīāļŠāļēāļ„āļ“āļīāļ•āļĻāļēāļŠāļ•āļĢāđŒ āđāļĨāļ°āļœāļđāđ‰āļŠāđˆāļ§āļĒāļĻāļēāļŠāļ•āļĢāļēāļˆāļēāļĢāļĒāđŒāļŠāļļāļ™āļ—āļĢāļĩ āļ­āļļāļ“āļŦāļžāļīāļžāļąāļ’āļ™āđŒ āđ„āļ”āđ‰āđ€āļ”āļīāļ™āļ—āļēāļ‡āđ„āļ›āļ›āļĢāļ°āļŠāļēāļŠāļąāļĄāļžāļąāļ™āļ˜āđŒāļŦāļĨāļąāļāļŠāļđāļ•āļĢāļ—āļĩāđˆ āđ‚āļĢāļ‡āđ€āļĢāļĩāļĒāļ™āđ€āļ•āļĢāļĩāļĒāļĄāļ­āļļāļ”āļĄāļĻāļķāļāļĐāļēāļ āļēāļ„āđƒāļ•āđ‰ āđƒāļŦāđ‰āļāļąāļšāļ™āļąāļāđ€āļĢāļĩāļĒāļ™āđƒāļ™āļĢāļ°āļ”āļąāļšāļĄāļąāļ˜āļĒāļĄāļĻāļķāļāļĐāļēāļ›āļĩāļ—āļĩāđˆ 4 āđāļĨāļ°āļĄāļąāļ˜āļĒāļĄāļĻāļķāļāļĐāļēāļ›āļĩāļ—āļĩāđˆ 5 āđƒāļ™āļ§āļąāļ™āļĻāļļāļāļĢāđŒāļ—āļĩāđˆ 16 āļŠāļīāļ‡āļŦāļēāļ„āļĄ āļž.āļĻ. 2567 āđ€āļ§āļĨāļē 11:00 – 12:00 āļ™. āļ‹āļķāđˆāļ‡āđ„āļ”āđ‰āļĢāļąāļšāļāļēāļĢāļ•āļ­āļšāļĢāļąāļšāļˆāļēāļāļ—āļēāļ‡āđ‚āļĢāļ‡āđ€āļĢāļĩāļĒāļ™āđ€āļ›āđ‡āļ™āļ­āļĒāđˆāļēāļ‡āļ”āļĩ āđāļĨāļ°āļĄāļĩāļ™āļąāļāđ€āļĢāļĩāļĒāļ™āđƒāļŦāđ‰āļ„āļ§āļēāļĄāļŠāļ™āđƒāļˆāđ€āļ›āđ‡āļ™āļˆāļģāļ™āļ§āļ™āļĄāļēāļ

āļœāļđāđ‰āļŠāđˆāļ§āļĒāļĻāļēāļŠāļ•āļĢāļēāļˆāļēāļĢāļĒāđŒāļŠāļĄāļ„āļīāļ” āļ­āļĄāļĢāļŠāļĄāļēāļ™āļāļļāļĨ āļŦāļąāļ§āļŦāļ™āđ‰āļēāļ āļēāļ„āļ§āļīāļŠāļēāļ„āļ“āļīāļ•āļĻāļēāļŠāļ•āļĢāđŒ āđāļĨāļ°āļœāļđāđ‰āļŠāđˆāļ§āļĒāļĻāļēāļŠāļ•āļĢāļēāļˆāļēāļĢāļĒāđŒāļŠāļļāļ™āļ—āļĢāļĩ āļ­āļļāļ“āļŦāļžāļīāļžāļąāļ’āļ™āđŒ āđ„āļ”āđ‰āđ€āļ”āļīāļ™āļ—āļēāļ‡āđ„āļ›āļ›āļĢāļ°āļŠāļēāļŠāļąāļĄāļžāļąāļ™āļ˜āđŒāļŦāļĨāļąāļāļŠāļđāļ•āļĢāļ—āļĩāđˆ āđ‚āļĢāļ‡āđ€āļĢāļĩāļĒāļ™āđ€āļ•āļĢāļĩāļĒāļĄāļ­āļļāļ”āļĄāļĻāļķāļāļĐāļēāļ āļēāļ„āđƒāļ•āđ‰ Read More Âŧ