On multiple Mathieu (a, lambda)-series (CROSBI ID 159125)
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Podaci o odgovornosti
Draščić, Biserka
engleski
On multiple Mathieu (a, lambda)-series
In the article the multiple Mathieu (a, lambda) series has been introduced. We obtain two integral representations for the multiple Mathieu (a, lambda)-series applying Ivanov's and then Pog\'any's variant of multiple Euler-Maclaurin summation formula. Then, a bilateral bounding inequality is derived by virtue of the achieved integral expressions. Finally, the special case of multiple (a, lambda)-series, the multiple Mathieu a-series has been investigated.
Mathieu (a ; lambda)-series ; Mathieu a-series ; Multiple series ; Integral represntation ; Double bounding inequality
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