Table 1 Numerical results of \(\Gamma _{ q}(\theta + \vartheta +\lambda +1)\), \(\Gamma _{ q}(\theta + \vartheta + \lambda )\), \(\Gamma _{ q}( \lambda + 1)\), \(\Gamma _{ q}(\theta + \vartheta +1)\), \(\Gamma _{ q}(\theta + \vartheta )\), \(\Gamma _{ q}(\theta + \vartheta + \lambda -\mu +1)\), \(\Gamma _{ q}(\theta + \vartheta + \lambda -\mu )\), \(\Gamma _{ q}(\theta -\mu +1)\), and \(\aleph _{1}\), \(\aleph _{2}\) of \(\mathbb{F}\mathrm{D}q-\mathbb{DP}\) (24) with \(q=\frac{3}{10}\)

1

1.6644

1.3700

1.7954

1.4432

1.4704

1.9579

2

1.6265

1.3527

1.8267

1.4170

1.4750

1.9714

3

1.6155

1.3477

1.8360

1.4093

1.4763

1.9756

4

1.6122

1.3461

1.8388

1.4070

1.4767

1.9768

5

1.6112

1.3457

1.8396

1.4064

1.4768

1.9772

6

1.6109

1.3456

1.8398

1.4062

1.4769

1.9773

7

1.6108

1.3455

1.8399

1.4061

1.4769

1.9773

8

1.6108

1.3455

1.8399

1.4061

1.4769

9

1.6108

1.3455

1.8400

1.4061

1.4769

1.9774

10

1.6108

1.3455

1.8400

1.4061

1.4769

1.9774

1

1.5583

1.3689

2.6131

1.3817

2

1.5252

1.3587

2.7022

1.3928

3

1.5156

1.3557

2.7286

1.3964

4

1.5127

1.3548

2.7365

1.3974

5

1.5118

1.3546

2.7389

1.3978

6

1.5116

1.3545

2.7396

7

1.5115

1.3545

2.7398

1.3979

8

1.5115

1.3545

2.7399

1.3979

9

1.5115

1.3545

2.7399

1.3979

10

1.5115

1.3545

2.7399

1.3979