The integer sequence transform a → b, where bn is the number of real roots of the polynomial a0 + a1x + a2x2 + · · · + an
DOI10.2989/16073606.2022.2113473arXiv2107.05572OpenAlexW4294597805MaRDI QIDQ6075724
Publication date: 20 September 2023
Published in: Quaestiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.05572
zeros of polynomialsordinary generating functioncompletely real polynomialsinteger sequence transform
Exact enumeration problems, generating functions (05A15) Polynomials in number theory (11C08) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Special sequences and polynomials (11B83)
Cites Work
- On power series having sections with only real zeros
- A unified approach to polynomial sequences with only real zeros
- The zeros of the partial sums of power series
- The zeros of approximating polynomials and the canonical representation of an entire function
- Computing Real Roots of Real Polynomials ... and now For Real!
- A remark about positive polynomials
- A Sufficient Condition for All the Roots of a Polynomial To Be Real
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